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We study Yang-Mills theory on four dimensional Anti-de Sitter space. The Dirichlet boundary condition cannot exist at arbitrarily large radius because it would give rise to colored asymptotic states in flat space. As observed in [1] this…

High Energy Physics - Theory · Physics 2025-06-06 Riccardo Ciccone , Fabiana De Cesare , Lorenzo Di Pietro , Marco Serone

We study QCD on AdS space with scalars or fermions in the fundamental representation, extending earlier results on pure Yang-Mills theory. In the latter, the Dirichlet boundary condition is conjectured to disappear via merger and…

High Energy Physics - Theory · Physics 2025-11-10 Riccardo Ciccone , Fabiana De Cesare , Lorenzo Di Pietro , Marco Serone

We initiate the study of flux tubes in confining gauge theories placed in a rigid AdS background, which serves as an infrared regulator. Varying the AdS radius from large to small allows us to interpolate between the flat space confining…

High Energy Physics - Theory · Physics 2026-02-05 Barak Gabai , Victor Gorbenko , Jiaxin Qiao

We investigate the dynamics of four-dimensional $\mathcal{N}=2$ $SU(2)$ super Yang--Mills theory on an AdS background. We propose that the boundary conditions that preserve the AdS super-isometries are determined by maximizing the real part…

High Energy Physics - Theory · Physics 2025-06-13 Davide Bason , Christian Copetti , Lorenzo Di Pietro , Ziming Ji

We study the index of $\mathcal{N}=4$ Yang-Mills theory on $S^3\times\mathbb{R}$. We argue that the index should undergo a large $N$ deconfinement phase transition, by computing an upper bound of its `temperature.' We compute this bound by…

High Energy Physics - Theory · Physics 2018-11-22 Sunjin Choi , Joonho Kim , Seok Kim , June Nahmgoong

A connection between the Hagedorn transition in string theory and the deconfinement transition in (non-supersymmetric) Yang-Mills theory is made using the AdS/CFT correspondence. We modify the model of zero temperature QCD proposed by…

High Energy Physics - Theory · Physics 2009-10-31 S. Kalyana Rama , B. Sathiapalan

We study the thermodynamics of the confined and unconfined phases of superconformal Yang-Mills in finite volume and at large N using the AdS/CFT correspondence. We discuss the necessary conditions for a smooth phase crossover and obtain an…

High Energy Physics - Theory · Physics 2009-10-31 D. S. Berman , Maulik K. Parikh

We study the AdS$_5$/CFT$_4$ duality where the boundary CFT is free Yang-Mills theory with gauge group SU(N). At the planar level we use the spectrum and correlation functions of the boundary theory to explicate features of the bulk theory.…

High Energy Physics - Theory · Physics 2016-11-23 Jin-Beom Bae , Euihun Joung , Shailesh Lal

For a local quantum field theory in anti-de Sitter space with conformal boundary conditions but without dynamical gravity, the boundary theory is generically a non-local conformal field theory. Such theories can support conformal defects,…

High Energy Physics - Theory · Physics 2026-05-15 Jiaxin Qiao

We consider SU(2) Yang-Mills theory on $AdS_4$ by imposing various boundary conditions, which correspond to non-trivial deformations of its boundary $CFT$. We obtain classical solutions of Yang-Mills fields up to the first subleading order…

High Energy Physics - Theory · Physics 2012-10-08 Dileep P. Jatkar , Jae-Hyuk Oh

In its Euclidean formulation, the AdS/CFT correspondence begins as a study of Yang-Mills conformal field theories on the sphere, S^4. It has been successfully extended, however, to S^1 X S^3 and to the torus T^4. It is natural to hope that…

High Energy Physics - Theory · Physics 2010-12-23 Brett McInnes

In this paper we discuss the dynamics of conformal field theories on anti-de Sitter space, focussing on the special case of the N=4 supersymmetric Yang-Mills theory on AdS_4. We argue that the choice of boundary conditions, in particular…

High Energy Physics - Theory · Physics 2011-02-16 Ofer Aharony , Donald Marolf , Mukund Rangamani

Using the fact that flat space with a boundary is related by a Weyl transformation to anti-de Sitter (AdS) space, one may study observables in boundary conformal field theory (BCFT) by placing a CFT in AdS. In addition to correlation…

High Energy Physics - Theory · Physics 2025-11-20 Simone Giombi , Himanshu Khanchandani

We study aspects of confinement in two deformed versions of the AdS/CFT correspondence - the GPPZ dual of N=1* Yang Mills, and the Yang Mills* N=0 dual. Both geometries describe discrete glueball spectra which we calculate numerically. The…

High Energy Physics - Theory · Physics 2009-11-10 Riccardo Apreda , David E. Crooks , Nick Evans , Michela Petrini

The AdS/CFT correspondence is used to describe five-dimensional cosmology with a big crunch singularity in terms of super-Yang-Mills theory on R times S^3 deformed by a potential which is unbounded below. Classically, a Higgs field in the…

High Energy Physics - Theory · Physics 2008-01-22 Neil Turok , Ben Craps , Thomas Hertog

We study deformations of the model by Henneaux, Mart\'inez, Troncoso and Zanelli [arXiv:hep-th/0201170] which features asymptotically AdS$_3$ black hole solutions that incorporate the exact backreaction of a scalar field. The presence of…

High Energy Physics - Theory · Physics 2025-12-25 Nele Callebaut , Blanca Hergueta , Ruben Monten , Matteo Selle

We study the gravitational Dirichlet problem in AdS spacetimes with a view to understanding the boundary CFT interpretation. We define the problem as bulk Einstein's equations with Dirichlet boundary conditions on fixed timelike cut-off…

High Energy Physics - Theory · Physics 2015-05-28 Daniel K. Brattan , Joan Camps , R. Loganayagam , Mukund Rangamani

We investigate the confinement-deconfinement phase transition at finite temperature of the SU(3) Yang-Mills(YM) theory on the lattice from a viewpoint of the dual superconductor picture based on the novel reformulation of the YM theory. In…

High Energy Physics - Lattice · Physics 2019-11-05 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato

Motivated by applications of self-dual theories to the AdS/CFT correspondence, we study self-dual Yang-Mills theory (SDYM) and its relation to Yang-Mills theory and to Chalmers-Siegel theory with Dirichlet, Neumann, and mixed boundary…

High Energy Physics - Theory · Physics 2026-03-16 Evgeny Skvortsov , Richard Van Dongen

In this paper, we study excited states in Anti-de Sitter (AdS) space prepared by local operator insertions of a massive scalar field, corresponding to local operator quenches in a free bulk scalar theory. Using the AdS/CFT correspondence,…

High Energy Physics - Theory · Physics 2025-10-27 Dmitry S. Ageev , Vladimir A. Bykov
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