Aspects of Integrability in Gauge/String Correspondence

In this thesis, we present our work about some generalisations of ideas, techniques and physical interpretations typical for integrable models to one of the most outstanding advances in theoretical physics of nowadays: the AdS/CFT correspondences. We have undertaken the problem of testing this conjectured duality under various points of view, but with a clear starting point - the integrability - and with a clear ambitious task in mind: to study the finite-size effects in the energy spectrum of certain string solutions on a side and in the anomalous dimensions of the gauge theory on the other. Of course, the final desire woul be the exact comparison between these two faces of the gauge/string duality. In few words, the original part of this work consists in application of well known integrability technologies, in large parte borrowed by the study of relativistic (1+1)-dimensional integrable quantum field theories, to the highly non-relativisic and much complicated case of the thoeries involved in the recent conjectures of AdS5/CFT4 and AdS4/CFT3 corrspondences. In details, exploiting the spin chain nature of the dilatation operator of N = 4 Super-Yang-Mills theory, we concentrated our attention on one of the most important sector, namely the SL(2) sector - which is also very intersting for the QCD understanding - by formulating a new type of nonlinear integral equation (NLIE) based on a previously guessed asymptotic Bethe Ansatz. The solutions of this Bethe Ansatz are characterised by the length L of the correspondent spin chain and by the number s of its excitations. A NLIE allows one, at least in principle, to make analytical and numerical calculations for arbitrary values of these parameters. The results have been rather exciting. In the important regime of high Lorentz spin, the NLIE clarifies how it reduces to a linear integral equations which governs the subleading order in s, o(s0). This also holds in the regime with L ! 1, L/ ln s finite (long operators case). This region of parameters has been particularly investigated in literature especially because of an intriguing limit into the O(6) sigma model defined on the string side. One of the most powerful methods to keep under control the finite-size spectrum of an integrable relativistic theory is the so called thermodynamic Bethe Ansatz (TBA). We proposed a highly non-trivial generalisation of this technique to the non-relativistic case of AdS5/CFT4 and made the first steps in order to determine its full spectrum - of energies for the AdS side, of anomalous dimensions for the CFT one - at any values of the coupling constant and of the size. At the leading order in the size parameter, the calculation of the finite-size corrections is much simpler and does not necessitate the TBA. It consists in deriving for a nonrelativistc case a method, invented for the first time by L¨uscher to compute the finite-size effects on the mass spectrum of relativisic theories. So, we have formulated a new version of this approach to adapt it to the case of recently found classical string solutions on AdS4 × CP3, inside the new conjecture of an AdS4/CFT3 correspondence. Our results in part confirm the string and algebraic curve calculations, in part are completely new and then could be better understood by the rapidly evolving developments of this extremely exciting research field.

Fatigue and Damage Tolerance in Primary Composite Aeronautical Structures

The challenging requirements set on new full composite aeronautical structures are mostly related to the demonstration of damage tolerance capability of their primary structures, required by the airworthiness bodies. And while composite-made structures inherently demonstrate exceptional fatigue properties, when put in real life working conditions, a number of external factors can lead to impact damages thus reducing drastically their fatigue resistance due to fiber delamination, disbonding or breaking. This PhD aims towards contributing to the better understanding of the behavior of the primary composite aeronautical structure after near-edge impacts which are inevitable during the service life of an aircraft. The behavior of CFRP structures after impacts in only one small piece of the big picture which is the certification of CFRP built aircraft, where several other parameters need to be evaluated in order to fulfill the airworthiness requirements. These parameters are also discussed in this PhD thesis in order to give a better understanding of the complex task of CFRP structure certification, in which behavior of the impacted structure plays an important role. An experimental and numerical campaign was carried out in order to determine the level of delamination damage in CFRP specimens after near-edge impacts. By calibrating the numerical model with experimental data, it was possible, for different configurations and energy levels, to predict the extension of a delamination in a CFRP structure and to estimate its residual static strength using a very simple but robust technique. The original contribution of this work to the analysis of CFRP structures is the creation of a model which could be applicable to wide range of thicknesses and stacking sequences of CFRP structures, thus potentially being suitable for industrial application, as well.

Architettura e verità. Emil Steffann architetto di chiese

La ricerca pone al suo centro lo studio dell'opera architettonica di Emil Steffann (1899-1968) la cui produzione realizzata consta, nel breve arco temporale che va dal 1950 al 1968, del ragguardevole numero di trentanove chiese, rappresentando un caso emblematico di progettazione e costruzione di edifici per il culto cristiano in grado di raffigurarne concretamente i principi fondativi liturgici, estetici e morfologici. L'architettura di Steffann, profondamente ispirata dallo spirito religioso, legata a figure primigenie che plasmano lo stare-insieme della comunità nella qualità corporea della materia, dove la presenza liturgica e monumentale si esprime nel silenzio e nella disponibilità di uno spazio circoscritto dai muri e direzionato dalla luce, concorre a definire nell'oggettivo amore per il vero la percezione estetico-teologica e la poetica formativa che connaturano, a nostro parere, progetto e segno della chiesa. Il testo concretizza il primo studio monografico completo di questo corpus architettonico e si basa sulla ricognizione diretta delle opere di Steffann; ne è derivata una narrazione non conseguente a un ordine cronologico o di presupposta importanza degli edifici, bensì che ricerca ed evidenzia corrispondenze tra nodi di una rete ideativa la quale, con diversi gradi di finitezza, in punti non sempre omogenei del tempo e dello spazio, denota un'esperienza autentica del comporre e del costruire. Il racconto individua gli oggetti architettonici, ne discute la consistenza aprendosi a riferimenti altri (in particolare il pensiero ecclesiologico-liturgico di Romano Guardini e quello estetico-teologico di Hans Urs von Balthasar) in grado di illuminarne la genesi e la manifestazione, li lega infine in sequenze analogiche. Una serie di tavole fotografiche originali, parte ineludibile e integrante della ricerca, testimonia dello stato attuale dei luoghi, connotando ulteriormente l'aspetto info-rappresentativo della loro composizione architettonica. In chiusura, la sintesi architetturale vuole essere uno strumento di verifica e progetto, quindi di trasposizione futura, correlato all'elaborazione documentaria.

The book of Qohelet. A digital scholarly edition of the hebrew text

The objective of the present dissertation is a born-digital critical edition of the Hebrew Old Testament book of Qohelet. The edition is based on an extensive collation of variant readings from indirect sources – the Septuagint, the Peshitta, the works of St. Jerome (the Vulgate and the Commentary), and the Targum – as well as from direct sources such as the Qumran fragments and Hebrew medieval manuscripts. The ultimate goal of the edition is (a) to reproduce the earliest textual form, the Archetype, that can be reconstructed on the basis of the available evidence; and (b) to propose a rehabilitation of the Original of the Author by resorting, when necessary, to conjectural emendation. We date the Archetype to the II century BCE, corresponding to the date of Hebrew fragments from Qumran, while we place the Original between the V and III centuries BCE. Unlike previous critical editions of Qohelet, ours follows the so-called eclectic model, which involves the reconstitution of a critical text and the preparation of an apparatus of secondary variants. Our edition includes, moreover, new data, taken both from primary literature, such as the recently published Göttingen Septuagint, and from up-to-date studies and critical commentaries on the text of Qohelet. The work is made up of five main parts: an introduction, which sets forth the rationale of the edition and the methodology adopted; the collation, where the variants are listed in their original language; the commentary, where they are extensively discussed; the critical text accompanied by the apparatus, which presents a selection of authentic Hebrew variants taken from the collation; and finally, a translation of the critical text. The edition uses the mark-up language of the Text Encoding Initiative (TEI). It is realized in pdf, via LaTeX, and will be available in digital form, via the TEI-Publisher editor.