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According to the AdS/CFT correspondence, the ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory is studied through its gravity dual whose configuration has two boundaries at the opposite sides of the fifth coordinate. At these boundaries,…

High Energy Physics - Theory · Physics 2014-03-26 Kazuo Ghoroku , Masafumi Ishihara , Akihiro Nakamura

This thesis addresses two topics: noncommutative Yang-Mills theories and the AdS/CFT correspondence. In the first part we study a partial summation of the theta-expanded perturbation theory. The latter allows one to define noncommutative…

High Energy Physics - Theory · Physics 2015-07-27 Christoph Sieg

The space of ${\cal N}=4$ supersymmetric Yang-Mills theories exhibits an intricate structure of global one-form symmetries and $SL(2,\mathbb{Z})$ duality orbits. In this paper we study this structure from the point of view of the…

High Energy Physics - Theory · Physics 2022-11-30 Oren Bergman , Shinji Hirano

Four-dimensional N=4 super Yang-Mills, with a codimension-one defect breaking half of the supersymmetry, arises as the field theory description of the D3/D5 intersection in the holographic limit. This is one of the earliest, most…

High Energy Physics - Theory · Physics 2022-12-28 Sophia K. Domokos , Andrew B. Royston

We study ${\cal N}=4$ super Yang-Mills theory compactified on a circle at zero temperature, with VEVs for two scalar bilinears and three independent current sources. We show that type IIB supergravity provides a complete holographic…

High Energy Physics - Theory · Physics 2026-03-20 Andrés Anabalón , Horatiu Nastase , Carlos Nunez , Marcelo Oyarzo , Ricardo Stuardo

We study dynamical aspects of holographic correspondence between d=5 anti-de Sitter supergravity and $d=4$ super Yang-Mills theory. We probe causality and locality of ambient spacetime from super Yang-Mills theory by studying transmission…

High Energy Physics - Theory · Physics 2009-10-31 Dongsu Bak , Soo-Jong Rey

Based on the old results of Cho, Soh, Park and Yoon, it is shown how higher m + n dimensional pure gravitational actions restricted to AdS_m times S^n backgrounds admit a holographic reduction to a lower m-dimensional Yang-Mills-like gauge…

High Energy Physics - Theory · Physics 2010-12-17 Carlos Castro

We study aspects of the AdS/CFT correspondence for $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory on $S^3/\Gamma$, where $\Gamma \subset SU(2)$ is a finite subgroup, leading to an ADE singularity in the bulk AdS geometry. We show that a…

High Energy Physics - Theory · Physics 2026-01-23 Sunjin Choi , Yuji Tachikawa

The ${\cal N} = 2^*$ Yang-Mills theory in four dimensions is a non-conformal theory that appears as a mass deformation of maximally supersymmetric ${\cal N} = 4$ Yang-Mills theory. This theory also takes part in the AdS/CFT correspondence…

High Energy Physics - Lattice · Physics 2018-04-18 Anosh Joseph

In this paper we review aspects of anti de Sitter/conformal field theory (AdS/CFT) duality and the notion of holographic renormalization group (RG) flow. We start by discussing supersymmetry and construct the N = 4 super Yang-Mills theory…

High Energy Physics - Theory · Physics 2024-12-10 Han Huang

In ${\cal N}=4$ super Yang-Mills theory on a four-manifold $M$, one can specify a discrete magnetic flux valued in $H^2(M,\Z_N)$. This flux is encoded in the AdS/CFT correspondence in terms of a five-dimensional topological field theory…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

Assuming the existence of a field theory in D dimensions dual to (D+1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review…

High Energy Physics - Theory · Physics 2017-02-01 Arjun Bagchi , Rudranil Basu , Ashish Kakkar , Aditya Mehra

The recent proposal on the correspondence between the ${\cal N}=4$ super Yang-Mills theory and string theory in the Penrose limit of the AdS$_5\times$S$^5$ geometry involves a few puzzles from the viewpoint of holographic principle,…

High Energy Physics - Theory · Physics 2009-11-07 S. Dobashi , H. Shimada , T. Yoneya

We present new results from our lattice investigations of maximally supersymmetric Yang--Mills theory in three dimensions, focusing on its nonperturbative phase diagram. Using a lattice formulation that preserves part of the supersymmetry…

High Energy Physics - Lattice · Physics 2026-03-31 Anosh Joseph , David Schaich

We study the supergravity dual of four-dimensional ${\mathcal{N}=1}$ superconformal field theories arising from wrapping M5-branes on a K\"ahler two-cycle inside a Calabi-Yau threefold. We derive an effective three-dimensional theory living…

High Energy Physics - Theory · Physics 2020-02-10 Martin Fluder

We construct four-dimensional N=4 super-Yang-Mills theories on a conic sphere with various background R-symmetry gauge fields. We study free energy and supersymmetric Renyi entropy using heat kernel method as well as localization technique.…

High Energy Physics - Theory · Physics 2015-02-12 Xing Huang , Yang Zhou

Type IIB string theory on spacetimes that are asymptotically AdS$_5\times$S$^5$ can be defined using four dimensional ${\cal N}=4$ super Yang-Mills theory. Six of the dimensions of the string theory are holographically reconstructed in the…

High Energy Physics - Theory · Physics 2009-12-10 Robert de Mello Koch

The N=4 SuperYang--Mills theory is covariantly determined by a U(1) \times SU(2) \subset SL(2,R) \times SU(2) internal symmetry and two scalar and one vector BRST topological symmetry operators. This determines an off-shell closed sector of…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Baulieu , Guillaume Bossard

We study the embedding of spacetime filling D7-branes in beta-deformed backgrounds which, according to the AdS/CFT dictionary, corresponds to flavoring beta-deformed N=4 super Yang-Mills. We consider supersymmetric and more general…

High Energy Physics - Theory · Physics 2009-05-20 Silvia Penati , Marco Pirrone , CarloAlberto Ratti

We present a proposal for the description of the Higgs branch of four-dimensional N=2 supersymmetric Yang-Mills theories in the context of the AdS/CFT correspondence. We focus on a finite Sp(N) N=2 theory arising as dual of a configuration…

High Energy Physics - Theory · Physics 2008-11-26 Zachary Guralnik , Stefano Kovacs , Bogdan Kulik
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