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Aspects of gauge/string dualities / STEFANO SPEZIALI

Swansea University Author: STEFANO, SPEZIALI

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DOI (Published version): 10.23889/SUthesis.56598

Abstract

In this thesis we investigate on the role that dualities play nowadays in our under-standing of string and Quantum Field Theories.The first part is devoted to holographic dualities, where the case of the string dual of certain one-, two- and four dimensional field theories is explored in detail. We be...

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Published: Swansea 2020
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Nunez, Carlos; Armoni, Adi
URI: https://cronfa.swan.ac.uk/Record/cronfa56598
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Abstract: In this thesis we investigate on the role that dualities play nowadays in our under-standing of string and Quantum Field Theories.The first part is devoted to holographic dualities, where the case of the string dual of certain one-, two- and four dimensional field theories is explored in detail. We begin in Chapter 1 by discussing the holographic dual of a broad class of four-dimensional field theories. We specialise to the case of quiver field theories where a number of formulas computing charges, number of branes and Linking Numbers are given. We then introduce marginal deformations in the supergravity backgrounds to uncover infinite new families of solutions to type II supergravity and M-theory. In Chapter 2, we discuss spin 2 fluctuations around a class of warped AdS3 backgrounds. We identify explicitly the dual operators of a given protected sector. Also, a formula for the central charge of the dual two-dimensional field theories is derived. In Chapter 3, we introduce two new classes of geometries with an AdS2 factor. We outline the importance to black hole physics and in one case give a prescription for the dual field theories.The second part is devoted to QFT/QFT dualities in Chern-Simons theories, and how dualities between Chern-Simons theories in three dimensions can be motivated in string theory. It is found that a known duality between three-dimensional Chern-Simons theories with unitary gauge symmetry can be motivated by a brane setup in Type 0B string theory with an orientifold. In particular, the phase diagram of unitary QCD3 is inferred from a dual theory.
College: College of Science