Quantum Integrability in Non-Linear Sigma Models related to Gauge/String Correspondences

Fabbri, Alessandro (2014) Quantum Integrability in Non-Linear Sigma Models related to Gauge/String Correspondences, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Fisica, 26 Ciclo. DOI 10.6092/unibo/amsdottorato/6226.
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The Thermodynamic Bethe Ansatz analysis is carried out for the extended-CP^N class of integrable 2-dimensional Non-Linear Sigma Models related to the low energy limit of the AdS_4xCP^3 type IIA superstring theory. The principal aim of this program is to obtain further non-perturbative consistency check to the S-matrix proposed to describe the scattering processes between the fundamental excitations of the theory by analyzing the structure of the Renormalization Group flow. As a noteworthy byproduct we eventually obtain a novel class of TBA models which fits in the known classification but with several important differences. The TBA framework allows the evaluation of some exact quantities related to the conformal UV limit of the model: effective central charge, conformal dimension of the perturbing operator and field content of the underlying CFT. The knowledge of this physical quantities has led to the possibility of conjecturing a perturbed CFT realization of the integrable models in terms of coset Kac-Moody CFT. The set of numerical tools and programs developed ad hoc to solve the problem at hand is also discussed in some detail with references to the code.

Tipologia del documento
Tesi di dottorato
Fabbri, Alessandro
Dottorato di ricerca
Scuola di dottorato
Scienze matematiche, fisiche ed astronomiche
Settore disciplinare
Settore concorsuale
Parole chiave
Non-Linear Sigma Models, Thermodynamic Bethe Ansatz, Y-system, AdS/CFT, Perturbed CFT.
Data di discussione
7 Marzo 2014

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