scispace - formally typeset
Open AccessProceedings ArticleDOI

Supersymmetric Gauge Theories and the Ads/cft Correspondence

Eric D'Hoker, +1 more
- pp 3-159
Reads0
Chats0
TLDR
In this paper, the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory Brane solutions are surveyed.
Abstract
In these lecture notes we first assemble the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory Brane solutions are surveyed The geometry and symmetries of anti-de Sitter space are discussed The AdS/CFT correspondence of Maldacena and its application to correlation functions in the the conformal phase of N=4 SYM are explained in considerable detail A pedagogical treatment of holographic RG flows is given including a review of the conformal anomaly in four-dimensional quantum field theory and its calculation from five-dimensional gravity Problem sets and exercises await the reader

read more

Citations
More filters
Journal ArticleDOI

The dilatation operator of conformal N=4 super-Yang–Mills theory

TL;DR: In this article, the authors show that the dilatation operator can be simplified, systematized and extended by focusing on the theory's one-loop structure, and they show that this integrability can be extended to all loops, with intriguing consequences for gauge theory.
Journal ArticleDOI

Relative entropy and holography

TL;DR: In this paper, the authors evaluate relative entropy between the vacuum and other states for spherical regions in the AdS/CFT framework, and show that the relevant equations and inequalities hold for a large class of states, giving a strong support to the holographic entropy formula.
Journal ArticleDOI

Quantum critical transport, duality, and M-theory

TL;DR: In this paper, the authors consider charge transport properties of 2+1 dimensional conformal field theories at non-zero temperature, and show that the effects of particle-vortex duality on the hydrodynamic-to-collisionless crossover function of SO(8) Rcurrents can be obtained in the large N limit by applying the AdS/CFT correspondence to Mtheory.
Journal ArticleDOI

Liouville Field Theory — A decade after the revolution

TL;DR: In this paper, a review of the recent developments of the Liouville field theory and its matrix model dual is presented, which includes some original material such as the derivation of the conjectured dual action for the N = 2 LiOUville theory from other known dualities and the comparison of the cross-cap state with the c = 0 unoriented matrix model.
Journal ArticleDOI

Mesons in gauge/gravity duals

TL;DR: Recently, this paper reviewed recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence.
Related Papers (5)