Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT

Author:   Edoardo Vescovi
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
ISBN:  

9783319634197


Pages:   239
Publication Date:   05 September 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT


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Overview

This thesis introduces readers to the type II superstring theories in the AdS5×S5 and AdS4×CP3 backgrounds. Each chapter exemplifies a different computational approach to measuring observables (conformal dimensions of single-trace operators and expectation values of Wilson loop operators) relevant for two supersymmetric theories: the N=4 super Yang-Mills theory and the N=6 Chern-Simons-matter (ABJM) theory.  Perturbative techniques have traditionally been used to make quantitative predictions in quantum field theories, but they are only reliable as long as the interaction strengths are weak. The anti-de Sitter/conformal field theory (AdS/CFT) correspondence realizes physicists’ dream of studying strongly coupled quantum field theories with “enhanced” symmetries, using the methods provided by string theory.  The first part of the thesis sets up the semiclassical quantization of worldsheet sigma-model actions around string solutions of least area in AdS space. This machinery is used to capture quantum corrections at large coupling to next-to-leading and next-to-next-to-leading order by solving the determinants of partial differential operators and by computing Feynman diagrams, respectively. In turn, the second part presents an innovative approach based on Monte Carlo simulations to finite coupling for a lattice-discretized model of the AdS5×S5 superstring action. The thesis focuses on fundamental aspects, as well as on applications previously published by the author, and offers a valuable reference work for anyone interested in the most recent developments in this field.

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Author:   Edoardo Vescovi
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Weight:   5.089kg
ISBN:  

9783319634197


ISBN 10:   3319634194
Pages:   239
Publication Date:   05 September 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- Superstring Actions in AdS5 × S5 and AdS4 × CP3 Spaces.- Geometric Properties of Semiclassically Quantized Strings.- “Exact” Semiclassical Quantization of Folded Spinning Strings.- Towards Precision Holography for Latitude Wilson Loops.- Light-like Cusp Anomaly and the Interpolating Function in ABJM.- AdS5 × S5 Superstring on the Lattice.- Conclusion and outlook.

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"Edoardo Vescovi received the B.Sc. and the M.Sc. in Physics at Parma University (Italy) in the groups of Prof. Raffaella Burioni and Prof. Luca Griguolo respectively. He completed his Ph.D. in Theoretical Physics at Humboldt University Berlin (Germany) in 2016 in the Independent Emmy Noether Research Group ""Gauge Fields from Strings"" led by Prof. Dr. Valentina Forini."

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