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Aspects of gauge/string dualities / STEFANO SPEZIALI
Swansea University Author: STEFANO SPEZIALI
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Copyright: The author, Stefano Speziali, 2020.Download (2.89MB)
DOI (Published version): 10.23889/SUthesis.56598
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...
|Supervisor:||Nunez, Carlos; Armoni, Adi|
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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.
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