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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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first_indexed 2021-03-29T11:42:37Z
last_indexed 2021-03-30T03:26:02Z
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spelling 2021-03-29T13:19:53.0023726 v2 56598 2021-03-29 Aspects of gauge/string dualities 68d37346223cdcfafae4ffad4c46707d STEFANO SPEZIALI STEFANO SPEZIALI true false 2021-03-29 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. E-Thesis Swansea 11 10 2020 2020-10-11 10.23889/SUthesis.56598 COLLEGE NANME COLLEGE CODE Swansea University Nunez, Carlos; Armoni, Adi Doctoral Ph.D 2021-03-29T13:19:53.0023726 2021-03-29T12:40:53.7965266 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics STEFANO SPEZIALI 1 56598__19585__3499c4c213a6479282f3258b30b952c8.pdf Speziali_Stefano_PhD_Thesis_Final_Redacted_Signature.pdf 2021-03-29T12:52:24.5669709 Output 3030945 application/pdf E-Thesis – open access true Copyright: The author, Stefano Speziali, 2020. true eng
title Aspects of gauge/string dualities
spellingShingle Aspects of gauge/string dualities
STEFANO SPEZIALI
title_short Aspects of gauge/string dualities
title_full Aspects of gauge/string dualities
title_fullStr Aspects of gauge/string dualities
title_full_unstemmed Aspects of gauge/string dualities
title_sort Aspects of gauge/string dualities
author_id_str_mv 68d37346223cdcfafae4ffad4c46707d
author_id_fullname_str_mv 68d37346223cdcfafae4ffad4c46707d_***_STEFANO SPEZIALI
author STEFANO SPEZIALI
author2 STEFANO SPEZIALI
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institution Swansea University
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hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description 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.
published_date 2020-10-11T04:11:40Z
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