Nonlocal charges for bonus yangian symmetries of Super-Yang-Mills

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Finite dimensional vertex

The spectrum of linearized excitations of the Type IIB SUGRA on AdS(5) x S-5 contains both unitary and non-unitary representations. Among the non-unitary, some are finite-dimensional. We explicitly construct the pure spinor vertex operators for a family of such finite-dimensional representations. The construction can also be applied to in finite-dimensional representations, including unitary, although it becomes in this case somewhat less explicit.

Cornering the unphysical vertex

In the classical pure spinor worldsheet theory of AdS(5) x S-5 there are some vertex operators which do not correspond to any physical excitations. We study their flat space limit. We find that the BRST operator of the worldsheet theory in flat space-time can be nontrivially deformed without deforming the worldsheet action. Some of these deformations describe the linear dilaton background. But the deformation corresponding to the nonphysical vertex differs from the linear dilaton in not being worldsheet parity even. The nonphysically deformed worldsheet theory has nonzero beta-function at one loop. This means that the classical Type IIB SUGRA backgrounds are not completely characterized by requiring the BRST symmetry of the classical worldsheet theory; it is also necessary to require the vanishing of the one-loop beta-function.

Integrability vs supersymmetry: Poisson structures of the pohlmeyer reduction

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Black hole partition function using the hybrid formalism of superstrings

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Capacidade reprodutiva de Porophyllum ruderale (Jacq.) Cass.

Uma população de Porophyllum ruderale (Jacq.) Cass. ocorrente nos arredores de São José do Rio Preto (SP) foi estudada quanto à estatura, biomassa epígea seca, número de ramos, de capítulos por ramo e por indivíduo e quanto à produção de aquênios por capítulo e por indivíduo. Esta última foi relativamente baixa (média de 2510 aquênios) correspondendo, na base de 80% de germinabilidade, à média de 2008 disseminulos viáveis por indivíduo. Esta capacidade reprodutiva é muito superior ao número de indivíduos que habitualmente ocorrem em condições naturais. A fraca densidade populacional característica da espécie deve ser atribuída, portanto, a outros fatores, tais como, possivelmente, as condições do solo, a competição interespecífica e, talvez, a ação de inimigos naturais. A produção individual de capítulos e de aquênios revelou correlação com a estatura e a biomassa mas o número de aquênios por capítulo (53 em média) não revelou correlação com a estatura, a biomassa e a produção individual de capítulos e de aquénios, demonstrando ser um carater pouco afetado pelo vigor vegetativo.

Collagen is reduced and disrupted in human aneurysms and dissections of ascending aorta

In ascending aorta aneurysms, there is an enlargement of the whole vessel, whereas aortic dissections (ADs) are characterized by the cleavage of the wall into 2 sheets at the external half. We searched if alterations in collagen could be related to these diseases. Sections of aortas from 14 case patients with acute dissections, 10 case patients with aneurysms, and 9 control subjects were stained with picrosirius. Slides were analyzed under polarized microscopy to evaluate the structure of collagen fibers. The proportion of collagen was calculated in each half of the medial layer by color detection in a computerized image analysis system. Collagen appearance under polarized light was consistent with collagenolysis. The mean collagen proportions at the inner and outer halves, respectively, were 0.50 +/- 0.13 and 0.40 +/- 0.08 in the control group, 0.20 +/- 0.10 and 0.18 +/- 0.12 in the AD group, and 0.33 +/- 0.12 and 0.19 +/- 0.12 in the aneurysm group. The AD (P < .01) and control (P = .04) groups had less collagen at the external half, no difference was found in the aneurysm group (P = .71). In both halves, there was less collagen in the case patients than in the control subjects (all P < .01), but at the internal half, the decrease was significantly greater in the case patients with aneurysms than in those with dissections (P = .03; at the external half, P = .99). Aortic dissections and aneurysms show a decrease in collagen content that could be related to a weakness of the wall underlying the diseases, but the locations of the decrease differ: in dissections, it is situated mostly at the external portion of the media (site of cleavage), whereas in aneurysms, it is more diffuse, consistent with the global enlargement. (c) 2008 Elsevier B.V. All rights reserved.

Progesterone upregulates GATA-1 on erythroid progenitors cells in liquid culture

Steroids hormones modify the hematological features of homozygous sickle cell disease, including the levels of fetal hemoglobin. We used semi-quantitative RT-PCR analysis of GATA-1, GATA-2, NF-E2, and gamma-globin mRNA levels in a two-phase liquid culture system of human adult erythroid cells in order to assay the effect of progesterone upon gene expression. The levels of expression of GATA-1 and gamma-globin mRNA were significantly increased in cells treated with progesterone compared to untreated cells (1.7- to 2.0-fold). Progesterone treatment did not produce any stimulatory effect upon GATA-2 and NF-E2 mRNA expression. Differences in the synthesis of HbF protein could not be detected by flow cytometry, although we observed a small difference in mean intensity fluorescence between cells treated and cells untreated with progesterone on days 7 and 9. Using anti-transferrin receptor and anti-glycophorin A antibodies, we verified that addition of progesterone did not cause any change in erythroid proliferation and differentiation. In conclusion, it is possible that the increased expression of gamma-globin mRNA after progesterone treatment observed in this study may be related to the increased GATA-1 mRNA expression. Interactions of the steroid receptors with the basal transcriptional machinery and with transcription factors might mediate their transcriptional effects. (C) 2002 Elsevier B.V. (USA).

Reconstruction of deformed defects in field theory from deformed zero modes and applications

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Quantization of the type II superstring in a curved six-dimensional background

A sigma model action with N = 2 D = 6 superspace variables is constructed for the Type II superstring compactified to six curved dimensions with Ramond - Ramond flux. The action can be quantized since the sigma model is linear when the six-dimensional space-time is flat. When the six-dimensional space-time is AdS 3 × S 3, the action reduces to one found earlier with Vafa and Witten. © 2000 Elsevier Science B.V. All rights reserved.

Super-Poincaré covariant quantization of the superstring

Using pure spinors, the superstring is covariantly quantized. For the first time, massless vertex operators are constructed and scattering amplitudes are computed in a manifestly ten-dimensional super-Poincaré covariant manner. Quantizable non-linear sigma model actions are constructed for the superstring in curved backgrounds, including the AdS 5 × S 5 background with Ramond-Ramond flux.

Covariant quantization of the superstring

After reviewing the Green-Schwarz superstring using the approach of Siegel, the superstring is covariantly quantized by constructing a BRST operator from the fermionic constraints and a bosonic pure spinor ghost variable. Physical massless vertex operators are constructed and, for the first time, N-point tree amplitudes are computed in a manifestly ten-dimensional super-Poincaré covariant manner. Quantization can be generalized to curved supergravity backgrounds and the vertex operator for fluctuations around AdS 5 x S 5 is explicitly constructed.

Gravitational energy of Kerr and Kerr anti-de Sitter space-times in the teleparallel geometry

In the context of the hamiltonian formulation of the teleparallel equivalent of general relativity we compute the gravitational energy of Kerr and Kerr Anti-de Sitter (Kerr-AdS) space-times. The present calculation is carried out by means of an expression for the energy of the gravitational field that naturally arises from the integral form of the constraint equations of the formalism. In each case, the energy is exactly computed for finite and arbitrary spacelike two-spheres, without any restriction on the metric parameters. In particular, we evaluate the energy at the outer event horizon of the black holes. © SISSA/ISAS 2003.

Flat currents in the classical AdS5 × S5 pure spinor superstring

It is proven that the classical pure spinor superstring in an AdS 5 × S5 back-ground has a flat current depending on a continuous parameter. This generalizes the recent result of Bena, et al. for the classical Green-Schwarz superstring. © SISSA/ISAS 2004.

BRST cohomology and nonlocal conserved charges

A relation is found between nonlocal conserved charges in string theory and certain ghost-number two states in the BRST cohomology. This provides a simple proof that the nonlocal conserved charges for the superstring in an AdS 5 × S5 background are BRST-invariant in the pure spinor formalism and are κ-symmetric in the Green-Schwarz formalism. © SISSA/ISAS 2005.