Determination of anomalies in supersymmetric theories

We develop an efficient technique to compute anomalies in supersymmetric theories by combining the so-called nonlocal regularization method and superspace techniques. To illustrate the method we apply it to a four-dimensional toy model with potentially anomalous N=1 supersymmetry and prove explicitly that in this model all the candidate supersymmetry anomalies have vanishing coefficients at the one-loop level.

CHARACTERIZATION OF NrsZ, A NOVEL SMALL REGULATORY NON-CODING RNA INVOLVED IN THE ADAPTATION OF PSEUDOMONAS AERUGINOSA PAO1

The opportunistic ubiquitous pathogen Pseudomonas aeruginosa strain PAOl is a versatile Gram-negative bacterium that has the extraordinary capacity to colonize a wide diversity of ecological niches and to cause severe and persistent infections in humans. To ensure an optimal coordination of the genes involved in nutrient utilization, this bacterium uses the NtrB/C and/or the CbrA/B two-component systems, to sense nutrients availability and to regulate in consequence the expression of genes involved in their uptake and catabolism. NtrB/C is specialized in nitrogen utilization, while the CbrA/B system is involved in both carbon and nitrogen utilization and both systems activate their target genes expression in concert with the alternative sigma factor RpoN. Moreover, the NtrB/C and CbrA/B two- component systems regulate the secondary metabolism of the bacterium, such as the production of virulence factors. In addition to the fine-tuning transcriptional regulation, P. aeruginosa can rapidly modulate its metabolism using small non-coding regulatory RNAs (sRNAs), which regulate gene expression at the post-transcriptional level by diverse and sophisticated mechanisms and contribute to the fast physiological adaptability of this bacterium. In our search for novel RpoN-dependent sRNAs modulating the nutritional adaptation of P. aeruginosa PAOl, we discovered NrsZ (Nitrogen regulated sRNA), a novel RpoN-dependent sRNA that is induced under nitrogen starvation by the NtrB/C two-component system. NrsZ has a unique architecture, formed of three similar stem-loop structures (SL I, II and II) separated by variant spacer sequences. Moreover, this sRNA is processed in short individual stem-loop molecules, by internal cleavage involving the endoribonuclease RNAse E. Concerning NrsZ functions in P. aeruginosa PAOl, this sRNA was shown to trigger the swarming motility and the rhamnolipid biosurfactants production. This regulation is due to the NrsZ-mediated activation of rhlA expression, a gene encoding for an enzyme essential for swarming motility and rhamnolipids production. Interestingly, the SL I structure of NrsZ ensures its regulatory function on rhlA expression, suggesting that the similar SLs are the functional units of this modular sRNA. However, the regulatory mechanism of action of NrsZ on rhlA expression activation remains unclear and is currently being investigated. Additionally, the NrsZ regulatory network was investigated by a transcriptome analysis, suggesting that numerous genes involved in both primary and secondary metabolism are regulated by this sRNA. To emphasize the importance of NrsZ, we investigated its conservation in other Pseudomonas species and demonstrated that NrsZ is conserved and expressed under nitrogen limitation in Pseudomonas protegens Pf-5, Pseudomonas putida KT2442, Pseudomonas entomophila L48 and Pseudomonas syringae pv. tomato DC3000, strains having different ecological features, suggesting an important role of NrsZ in the adaptation of Pseudomonads to nitrogen starvation. Interestingly the architecture of the different NrsZ homologs is similarly composed by SL structures and variant spacer sequences. However, the number of SL repetitions is not identical, and one to six SLs were predicted on the different NrsZ homologs. Moreover, NrsZ is processed in short molecules in all the strains, similarly to what was previously observed in P. aeruginosa PAOl, and the heterologous expression of the NrsZ homologs restored rhlA expression, swarming motility and rhamnolipids production in the P. aeruginosa NrsZ mutant. In many aspects, NrsZ is an atypical sRNA in the bacterial panorama. To our knowledge, NrsZ is the first described sRNA induced by the NtrB/C. Moreover, its unique modular architecture and its processing in similar short SL molecules suggest that NrsZ belongs to a novel family of bacterial sRNAs. -- L'agent pathogène opportuniste et ubiquitaire Pseudomonas aeruginosa souche PAOl est une bactérie Gram négative versatile ayant l'extraordinaire capacité de coloniser différentes niches écologiques et de causer des infections sévères et persistantes chez l'être humain. Afin d'assurer une coordination optimale des gènes impliqués dans l'utilisation de différents nutriments, cette bactérie se sert de systèmes à deux composants tel que NtrB/C et CbrA/B afin de détecter la disponibilité des ressources nutritives, puis de réguler en conséquence l'expression des gènes impliqués dans leur importation et leur catabolisme. Le système NtrB/C régule l'utilisation des sources d'azote alors que le système CbrA/B est impliqué à la fois dans l'utilisation des sources de carbone et d'azote. Ces deux systèmes activent l'expression de leurs gènes-cibles de concert avec le facteur sigma alternatif RpoN. En outre, NtrB/C et CbrA/B régulent aussi le métabolisme secondaire, contrôlant notamment la production d'importants facteurs de virulence. En plus de toutes ces régulations génétiques fines ayant lieu au niveau transcriptionnel, P. aeruginosa est aussi capable de moduler son métabolisme en se servant de petits ARNs régulateurs non-codants (ARNncs), qui régulent l'expression génétique à un niveau post- transcriptionnel par divers mécanismes sophistiqués et contribuent à rendre particulièrement rapide l'adaptation physiologique de cette bactérie. Au cours de nos recherches sur de nouveaux ARNncs dépendant du facteur sigma RpoN et impliqués dans l'adaptation nutritionnelle de P. aeruginosa PAOl, nous avons découvert NrsZ (Nitrogen regulated sRNA), un ARNnc induit par la cascade NtrB/C-RpoN en condition de carence en azote. NrsZ a une architecture unique, composée de trois structures en tige- boucle (TB I, II et III) hautement similaires et séparées par des « espaceurs » ayant des séquences variables. De plus, cet ARNnc est clivé en petits fragments correspondant au trois molécules en tige-boucle, par un processus de clivage interne impliquant l'endoribonucléase RNase E. Concernant les fonctions de NrsZ chez P. aeruginosa PAOl, cet ARNnc est capable d'induire la motilité de type « swarming » et la production de biosurfactants, nommés rhamnolipides. Cette régulation est due à l'activation par NrsZ de l'expression de rhlA, un gène essentiel pour la motilité de type swarming et pour la production de rhamnolipides. Étonnamment, la structure TB I est capable d'assurer à elle seule la fonction régulatrice de NrsZ sur l'expression de rhlA, suggérant que ces molécules TBs sont les unités fonctionnelles de cet ARNnc modulaire. Cependant, le mécanisme moléculaire par lequel NrsZ active l'expression de rhlA demeure à ce jour incertain et est actuellement à l'étude. En plus, le réseau de régulations médiées par NrsZ a été étudié par une analyse de transcriptome qui a indiqué que de nombreux gènes impliqués dans le métabolisme primaire ou secondaire seraient régulés par NrsZ. Pour accentuer l'importance de NrsZ, nous avons étudié sa conservation dans d'autres espèces de Pseudomonas. Ainsi, nous avons démontré que NrsZ est conservé et exprimé en situation de carence d'azote par les souches Pseudomonas protegens Pf-5, Pseudomonas putida KT2442, Pseudomonas entomophila L48, Pseudomonas syringae pv. tomato DC3000, quatre espèces ayant des caractéristiques écologiques très différentes, suggérant que NrsZ joue un rôle important dans l'adaptation du genre Pseudomonas envers la carence en azote. Chez toutes les souches étudiées, les différents homologues de NrsZ présentent une architecture similaire faite de TBs conservées et d'espaceurs. Cependant, le nombre de TBs n'est pas identique et peut varier de une à six copies selon la souche. Les différentes versions de NrsZ sont clivées en petites molécules dans ces quatre souches, comme il a été observé chez P. aeruginosa PAOl. De plus, l'expression hétérologue des différentes variantes de NrsZ est capable de restaurer l'expression de rhlA, la motilité swarming et la production de rhamnolipides dans une souche de P. aeruginosa dont nrsZ a été inactivé. Par bien des aspects, NrsZ est un ARNnc atypique dans le monde bactérien. À notre connaissance, NrsZ est le premier ARNnc décrit comme étant régulé par le système NtrB/C. De plus, son unique architecture modulaire et son clivage en petites molécules similaires suggèrent que NrsZ appartient à une nouvelle famille d'ARNncs bactériens.

Autocrine secretion of IGF2 regulates adult ß cell functional plasticity

In the pathogenesis of type 2 diabetes, hyperglycemia appears when ß cell mass and insulin secretory capacity are no longer sufficient to compensate for insulin resistance. The reduction in ß cell mass results from increased apoptosis. Therefore, finding strategies to preserve ß cell mass and function may be useful for the treatment or prevention of diabetes. Glucagon-like peptide-1 (GLP-1) protects ß cells against apoptosis, increases their glucose competence, and induces their proliferation. Previous studies in the lab of Prof. Bernard Thorens showed that the GLP-1 anti- apoptotic effect was mediated by robust up-regulation of IGF-1R expression, and this was paralleled with an increase in Akt phosphorylation. This effect was dependent not only on increased IGF-1R expression but also on the autocrine secretion of insulin-like growth factor 2 (IGF2). They also demonstrated that GLP-1 up-regulated IGF-1R expression by a protein a kinase A-dependent translational control mechanism. The main aim of this PhD work has been to further investigate the role of the IGF2/IGF-1 Receptor autocrine loop in ß cell function and to determine the physiological role of IGF2 in ß cell plasticity and its regulation by nutrients. This PhD thesis is divided in 3 chapters. The first chapter describes the role of IGF2/IGF-1R autocrine loop in ß cell glucose competence and proliferation. Here using MIN6 cells and primary mouse islets as an experimental model we demonstrated that the glucose competence of these cells was dependent on the level of IGF-1R expression and on IGF2 secretion. Furthermore, we showed that GLP-1-induced primary ß cell proliferation was significantly reduced by Igf-lr gene inactivation and by IGF2 immunoneutralization or knockdown. In the second chapter we examined the role of this IGF2/IGF-1R autocrine loop on the ß cell functional plasticity during ageing, pregnancy, and in response to acute induction of insulin resistance using mice with ß cell-specific inactivation of ig/2. Here we showed a gender-dependent role of ß cell IGF2 in ageing and high fat diet-induced metabolic stress; we demonstrated that the autocrine secretion of IGF2 is essential for ß cell mass adaptation during pregnancy. Further we also showed that this autocrine loop plays an important role in ß cell expansion in response to acute induction of insulin resistance. The aim of the third chapter was to investigate whether we can modulate the expression and secretion of IGF2 by nutrients in order to increase the activity of autocrine loop. Here we showed that glutamine induces IGF2 biosynthesis and its fast secretion through the regulated pathway, a mechanism enhanced in the presence of glucose. Furthermore, we demonstrated that glutamine-mediated Akt phosphorylation is dependent on IGF2 secretion, indicating that glutamine controls the activity of the IGF2/IGF1R autocrine loop through IGF2 up-regulation. In summary, this PhD work highlights that autocrine secretion of IGF2 is required for compensatory ß cell adaptation to ageing, pregnancy, and insulin resistance. Moreover IGF2/IGF1R autocrine loop is regulated by two feeding-related cues, GLP-1 to increase IGF-1R expression and glutamine to control IGF2 biosynthesis and secretion. -- Dans le diabète de type 2, lorsque la sécrétion d'insuline des cellules Beta du pancréas n'est plus suffisante pour compenser la résistance à l'insuline, une hyperglycémie est observée. Cette baisse de sécrétion d'insuline est Causée par la diminution de la masse de cellules Beta suite à l'augmentation du phénomène de mort cellulaire ou « apoptose ». En diabétologie, une des stratégies médicales concerne la préservation des cellules Beta du pancréas. Une des protéines intervenant dans cette fonction est GLP-1 (Glucagon-like peptide-1). GLP-1 est capable de protéger les cellules Beta contre la mort cellulaire et d'induire leur prolifération. Des études précédemment menées dans le laboratoire du Professeur Bernard Thorens ont montrées que l'activité « anti-apoptotique » de GLP-1 est le résultat l'une augmentation de l'expression du gène IGF-1R sous la dépendance de la sécrétion autocrine d'IGF2 (Insulin-Like Growth Factor). Le but de mon travail de thèse aura été d'étudier le mécanisme de la régulation de GLP-1 par IGF2 et plus précisément de déterminer le rôle physiologique d'IGF2 dans la plasticité des cellules ß ainsi que sa régulation par les nutriments. Ce manuscrit est ainsi divisé en trois chapitres : Le premier chapitre décrit la fonction d'IGF2/IGF- R1 dans la réponse des cellules Beta au glucose ainsi que dans leur capacité à proliférer. Dans ce chapitre nous avons montré l'importance du niveau d'expression d'IGFR-1 et de la sécrétion d'IGF2 dans la régulation du métabolisme du glucose. Dans un deuxième chapitre, nous étudions la boucle de régulation IGF2/IGF-R1 sur la plasticité des cellules Beta lors du vieillissement, de la grossesse ainsi que dans un modèle de souris résistantes à l'insuline. Cette étude met en évidence un dimorphisme sexuel dans le rôle d'IGF2 lors du vieillissement et lors d'un stress métabolique. Nous montrons également l'importance d'IGF2 pour l'adaptation des cellules Beta tout au long de la grossesse ou lors du phénomène de résistance à l'insuline. Dans un troisième chapitre, nous mettons en évidence la possibilité de moduler l'expression et la sécrétion d'IGF2 par les nutriments. En conclusion, ce travail de thèse aura permis de mettre en évidence l'importance d'IGF2 dans la plasticité des cellules ß, une plasticité indispensable lors du vieillissement, de la grossesse ou encore dans le cas d'une résistance à l'insuline.

D-String on near horizon geometries and infinite conformal symmetry

We show that the symmetries of effective D-string actions in constant dilaton backgrounds are directly related to homothetic motions of the background metric. In the presence of such motions, there are infinitely many nonlinearly realized rigid symmetries forming a loop (or looplike) algebra. Near horizon (antideSitter) D3 and D1+D5 backgrounds are discussed in detail and shown to provide 2D interacting field theories with infinite conformal symmetry.

A homozygous missense mutation in SCNN1A is responsible for a transient neonatal form of pseudohypoaldosteronism type 1.

Pseudohypoaldosteronism type 1 (PHA1) is a monogenic disorder of mineralocorticoid resistance characterized by salt wasting, hyperkalemia, high aldosterone levels, and failure to thrive. An autosomal recessive form (AR-PHA1) is caused by mutations in the epithelial sodium channel ENaC with usually severe and persisting multiorgan symptoms. The autosomal dominant form of PHA1 (AD-PHA1) is due to mutations in the mineralocorticoid receptor causing milder and transient symptoms restricted to the kidney. We identified a homozygous missense mutation in the SCNN1A gene (c.727T>C/p.Ser(243)Pro), encoding α-subunit of ENaC (α-ENaC) in a prematurely born boy with a severe salt-losing syndrome. The patient improved rapidly under treatment, and dietary salt supplementation could be stopped after 6 mo. Interestingly, the patient's sibling born at term and harboring the same homozygous Ser(243)Pro mutation showed no symptom of salt-losing nephropathy. In vitro expression of the αSer(243)Pro ENaC mutant revealed a slight but significant decrease in ENaC activity that is exacerbated in the presence of high Na(+) load. Our study provides the first evidence that ENaC activity is critical for the maintenance of salt balance in the immature kidney of preterm babies. Together with previous studies, it shows that, when the kidney is fully mature, the severity of the symptoms of AR-PHA1 is related to the degree of the ENaC loss of function. Finally, this study identifies a novel functional domain in the extracellular loop of ENaC.

PPARbeta/delta regulates paneth cell differentiation via controlling the hedgehog signaling pathway.

BACKGROUND & AIMS: All 4 differentiated epithelial cell types found in the intestinal epithelium derive from the intestinal epithelial stem cells present in the crypt unit, in a process whose molecular clues are intensely scrutinized. Peroxisome proliferator-activated receptor beta (PPARbeta) is a nuclear hormone receptor activated by fatty acids and is highly expressed in the digestive tract. However, its function in intestinal epithelium homeostasis is understood poorly. METHODS: To assess the role of PPARbeta in the small intestinal epithelium, we combined various cellular and molecular approaches in wild-type and PPARbeta-mutant mice. RESULTS: We show that the expression of PPARbeta is particularly remarkable at the bottom of the crypt of the small intestine where Paneth cells reside. These cells, which have an important role in the innate immunity, are strikingly affected in PPARbeta-null mice. We then show that Indian hedgehog (Ihh) is a signal sent by mature Paneth cells to their precursors, negatively regulating their differentiation. Importantly, PPARbeta acts on Paneth cell homeostasis by down-regulating the expression of Ihh, an effect that can be mimicked by cyclopamine, a known inhibitor of the hedgehog signaling pathway. CONCLUSIONS: We unraveled the Ihh-dependent regulatory loop that controls mature Paneth cell homeostasis and its modulation by PPARbeta. PPARbeta currently is being assessed as a drug target for metabolic diseases; these results reveal some important clues with respect to the signals controlling epithelial cell fate in the small intestine.

Vitellogenin B2 gene in Xenopus laevis: isolation, in vitro transcription and relation to other vitellogenin genes.

The isolation of the four Xenopus laevis vitellogenin genes has been completed by the purification from a DNA library of the B2 gene together with its flanking sequences. The overlapping DNA fragments analyzed cover 34 kilobases. The B2 gene which has a length of 17.5 kilobases was characterized by heteroduplex and R-loop mapping in the electron microscope and by in vitro transcription in a HeLa whole-cell extract. Its structural organization is compared with that of the closely related B1 gene. The mRNA-coding sequence of about 6 kilobases is interrupted 34 times in the B1 gene and 33 times in the B2 gene. Sequence homology between the two genes was not only found in exons. In addition, 54% of the intron sequences as well as 63% and 48.5% respectively of the 5' and 3' flanking sequences, show enough homology to form stable duplexes. These findings are compared with earlier results obtained with the two other closely related members of the vitellogenin gene family, the A1 and the A2 genes.

The role of AUF1 in AU-rich interleukin-6 mRNA regulation

Abstract: The AU-rich elements (AREs) consisting of repeated AUUUA motifs confer rapid degradation to many cellular mRNAs when present in the 3' untranslated region (3'UTR). We have studied the instability of interleukin-6 mRNA by grafting its 3' untranslated region to a stable green fluorescent protein mRNA. Subsequent scanning mutagenesis identified two conserved elements, which taken together account for most of the instability. The first corresponds to a short non-canonical AU-rich element. The other comprises a sequence predicted to form astern-loop structure. Both elements need to be present in order to confer full instability (Paschoud et al. 2006). Destabilization of ARE-containing mRNAs is thought to involve ARE-binding proteins such as AUF1. We tested whether AUF1 binding to interleukin-6 mRNA correlates with decreased mRNA stability. Overexpression of myc-tagged p37AUFl and p42AUF1 as well as suppression of all four AUF1 isoforms by RNA interference stabilized the interleukin-6 mRNA. Furthermore, the interleukin-6 mRNA co-immunoprecipitated specifically with myc-tagged p37AUF1 and p42AUF1 in cell extracts. Both the stabilization and AUF1-binding required the non-canonical AU-rich sequence. These results indicate that AUF1 binds to the AU-rich element in vivo and promotes interleukin6 mRNA degradation. The combination of mRNA co-immunoprecipitation with microarray technology revealed that at least 500 cellular mRNAs associate with AUF1. Résumé: "La présence d'éléments riches en A et U (ARE), en particulier les motifs répétés d'AUUUA dans la région 3' non traduite, confère une dégradation rapide à beaucoup d'ARN cellulaires. Nous avons étudié l'instabilité de l'ARN codant pour l'interleukine 6 en greffant sa région 3' non traduite à un ARN stable codant pour la protéine fluorescente verte. La mutagenèse systématique des séquences non traduites a permis l'identification de deux éléments conservés qui confèrent l'instabilité à l'ARN. Le premier correspond à un élément AU-riche non canonique court. Le second comporte une structure en 'épingle à cheveux'. Tous les deux éléments doivent être présents afin de conférer une instabilité complète (Paschoud et al. 2006). On pense que des protéines telles que AUF1, pouvant se lier aux éléments ARE, sont impliquées dans la dégradation des ARN messagers. Nous avons examiné si la liaison de AUFl sur l'ARN de l'interleukine 6 corrèle avec une stabilité diminuée. La surexpression des protéines p37AUF1 et de p42AUF1 myc-étiquetées ainsi que la suppression de chacun des quatre isoformes de AUF1 par interférence d'ARN a stabilisé l'ARN messager d'interleukine 6. En outre, cet ARN co-immunoprécipite spécifiquement avec p37AUF1 et p42AUF1 dans des extraits cellulaires. La présence de l'élément AUriche non canonique est nécessaire pour la stabilisation de l'ARN et sa liaison avec AUFI. Ces résultats indiquent qu'AUF1 se lie à l'élément AU-riche in vivo et favorise la dégradation de l'ARN messager d'interleukine 6. La combinaison des techniques de coimmunoprécipitation des ARN messagers et des analyses par `microarray' indique qu'au moins 500 ARN cellulaires s'associent à AUF1.

Mutations of mitochondrial DNA as potential biomarkers in breast cancer.

BACKGROUND: Alterations of mitochondrial DNA (mtDNA) have been found in cancer patients, therefore informative mtDNA mutations could serve as biomarkers for the disease. MATERIALS AND METHODS: The two hypervariable regions HVR1 and HVR2 in the D-Loop region were sequenced in ten paired tissue and plasma samples from breast cancer patients. RESULTS: MtDNA mutations were found in all patients' samples, suggesting a 100% detection rate. Examining germline mtDNA mutations, a total of 85 mutations in the D-loop region were found; 31 of these mutations were detected in both tissues and matched plasma samples, the other 54 germline mtDNA mutations were found only in the plasma samples. Regarding somatic mtDNA mutations, a total of 42 mutations in the D-loop region were found in breast cancer tissues. CONCLUSION: Somatic mtDNA mutations in the D-loop region were detected in breast cancer tissues but not in the matched plasma samples, suggesting that more sensitive methods will be needed for such detection to be of clinical utility.

Correction of aberration in holographic optical tweezers using a Shack-Hartmann sensor

Optical aberration due to the nonflatness of spatial light modulators used in holographic optical tweezers significantly deteriorates the quality of the trap and may easily prevent stable trapping of particles. We use a Shack-Hartmann sensor to measure the distorted wavefront at the modulator plane; the conjugate of this wavefront is then added to the holograms written into the display to counteract its own curvature and thus compensate the optical aberration of the system. For a Holoeye LC-R 2500 reflective device, flatness is improved from 0.8¿ to ¿/16 (¿=532 nm), leading to a diffraction-limited spot at the focal plane of the microscope objective, which makes stable trapping possible. This process could be fully automated in a closed-loop configuration and would eventually allow other sources of aberration in the optical setup to be corrected for.

Influence of the dipolar interactions in the magnetization reversal asymmetry of hard-soft magnetic ribbons

Partial crystallization of the metallic glass Co66Si16B12Fe4Mo2 was performed by annealing at temperatures between 500 and 540°C for 10-20 min, resulting in crystallite volume fractions of (0.7-5)×10¿3 and sizes of 50-100 nm. This two-phase alloy presents a remarkable feature: a hysteresis loop shift that can be tailored by simply premagnetizing the sample in the adequate magnetic field. Shifts as large as five times the coercive field have been obtained which make them interesting for application as magnetic cores in dc pulse transformers. The asymetrical magnetic reversal is explained in terms of the magnetic dipolar field interaction and the observed hysteresis loops have been satisfactorily simulated by a modification of Stoner-Wohlfarth¿s model of coherent rotations.

Microscopic origin of exchange bias in core/shell nanoparticles

We report the results of Monte Carlo simulations with the aim to clarify the microscopic origin of exchange bias in the magnetization hysteresis loops of a model of individual core/shell nanoparticles. Increase of the exchange coupling across the core/shell interface leads to an enhancement of exchange bias and to an increasing asymmetry between the two branches of the loops which is due to different reversal mechanisms. A detailed study of the magnetic order of the interfacial spins shows compelling evidence that the existence of a net magnetization due to uncompensated spins at the shell interface is responsible for both phenomena and allows to quantify the loop shifts directly in terms of microscopic parameters with striking agreement with the macroscopic observed values.

Semiclassical back reaction in the formation of a straight cosmic string

We derive the back reaction on the gravitational field of a straight cosmic string during its formation due to the gravitational coupling of the string to quantum matter fields. A very simple model of string formation is considered. The gravitational field of the string is computed in the linear approximation. The vacuum expectation value of the stress tensor of a massless scalar quantum field coupled to the string gravitational field is computed to one loop order. Finally, the back-reaction effect is obtained by solving perturbatively the semiclassical Einsteins equations.

Black holes from nucleating strings

We evaluate the probability that a loop of string that has spontaneously nucleated during inflation will form a black hole upon collapse, after the end of inflation. We then use the observational bounds on the density of primordial black holes to put constraints on the parameters of the model. Combining these constraints with current upper limits on the expansion rate during inflation, we conclude that the density of black holes formed from nucleating strings is too low to be observed. Also, constraints on domain wall nucleation and monopole pair production during inflation are briefly discussed.

Nucleation rates in flat and curved space

Nucleation rates for tunneling processes in Minkowski and de Sitter space are investigated, taking into account one loop prefactors. In particular, we consider the creation of membranes by an antisymmetric tensor field, analogous to Schwinger pair production. This can be viewed as a model for the decay of a false (or true) vacuum at zero temperature in the thin wall limit. Also considered is the spontaneous nucleation of strings, domain walls, and monopoles during inflation. The instantons for these processes are spherical world sheets or world lines embedded in flat or de Sitter backgrounds. We find the contribution of such instantons to the semiclassical partition function, including the one loop corrections due to small fluctuations around the spherical world sheet. We suggest a prescription for obtaining, from the partition function, the distribution of objects nucleated during inflation. This can be seen as an extension of the usual formula, valid in flat space, according to which the nucleation rate is twice the imaginary part of the free energy. For the case of pair production, the results reproduce those that can be obtained using second quantization methods, confirming the validity of instanton techniques in de Sitter space. Throughout the paper, both the gravitational field and the antisymmetric tensor field are assumed external.