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We analyse the 1/16-BPS superconformal index for BPS black holes at equal charge in $AdS_5 \times S_5$, uncovering evidence for a new instability in the microcanonical ensemble along the small black hole saddle. This is indicated by…

High Energy Physics - Theory · Physics 2026-05-01 Jack Holden

The thermodynamics of d5 AdS BHs with positive, negative or zero curvature spatial section in higher derivative (HD) gravity is described. HD contribution to free energy may change its sign which leads to more complicated regime for…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We systematically study various sub-leading structures in the superconformal index of ${\cal N}=4$ supersymmetric Yang-Mills theory with SU($N$) gauge group. We concentrate in the superconformal index description as a matrix model of…

High Energy Physics - Theory · Physics 2022-05-20 Alfredo González Lezcano , Junho Hong , James T. Liu , Leopoldo A. Pando Zayas

The Lee-Yang phase transition theory applied in the anti-de Sitter (AdS) black hole has inspired the exploration of complex phase diagram and supercritical phenomena in black hole thermodynamics. In this study, we extend the approach to the…

High Energy Physics - Theory · Physics 2026-05-21 Fei Guo , Zhen-Ming Xu

A few years ago it was shown that the superconformal index of the $\mathcal{N}=4$ supersymmetric $SU(N)$ Yang-Mills theory in the large $N$ limit matches with the entropy of $1/16$-supersymmetric black holes in type IIB string theory on…

High Energy Physics - Theory · Physics 2024-02-15 Ofer Aharony , Ohad Mamroud , Shimon Nowik , Meir Weissman

According to the AdS/CFT correspondence, the strong coupling limit of large n, N=4 supersymmetric gauge theory at finite temperature is described by asymptotically anti de Sitter black holes. These black holes exist with planar, spherical…

High Energy Physics - Theory · Physics 2009-10-31 K. Landsteiner , E. Lopez

We study $d$-dimensional $AdS$ black holes surrounded by Dark Energy (DE), embedded in $D$-dimensional M-theory/superstring inspired models having $AdS_d \times \mathbb{S}^{d+k}$ space-time with $D=2d+k$. We focus on the thermodynamic…

High Energy Physics - Theory · Physics 2021-04-21 A. Belhaj , A. El Balali , W. El Hadri , Y. Hassouni , E. Torrente-Lujan

We consider strongly coupled field theories at large N on black hole backgrounds. At sufficiently high Hawking temperature T_H, one expects a phase where the black hole is in equilibrium with a deconfined plasma. We explore this phase in…

High Energy Physics - Theory · Physics 2015-05-13 Veronika E. Hubeny , Donald Marolf , Mukund Rangamani

We study the problem of a Schwarzschild-anti-deSitter black hole in a noncommutative geometry framework, thought to be an effective description of quantum-gravitational spacetime. As a first step we derive the noncommutative geometry…

General Relativity and Quantum Cosmology · Physics 2011-09-14 Piero Nicolini , Giorgio Torrieri

The dynamics of finite temperature U(N) gauge theories on $S^3$ can be described, at weak coupling, by an effective unitary matrix model. Here we present an exact solution to these models, for any value of $N$, in terms of a sum over…

High Energy Physics - Theory · Physics 2008-11-26 Suvankar Dutta , Rajesh Gopakumar

We use holographic techniques to study SU(Nc) super Yang-Mills theory coupled to Nf << Nc flavours of fundamental matter at finite temperature and baryon density. We focus on four dimensions, for which the dual description consists of Nf…

High Energy Physics - Theory · Physics 2010-10-27 Shinpei Kobayashi , David Mateos , Shunji Matsuura , Robert C. Myers , Rowan M. Thomson

We test the recent claim that supersymmetric matrix quantum mechanics with mass deformation preserving maximal supersymmetry can be used to study N=4 super Yang-Mills theory on RxS^3 in the planar limit. When the mass parameter is large, we…

High Energy Physics - Theory · Physics 2009-04-09 Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

Recently Herzog has shown that deconfinement of AdS/QCD can be realized, in the hard-wall model where the small radius region is removed in the asymptotically AdS space, via a first order Hawking-Page phase transition between a low…

High Energy Physics - Theory · Physics 2009-04-17 Rong-Gen Cai , Jonathan P. Shock

We study the supersymmetric partition function of {\cal N}= 4 super Yang-Mills with gauge group SU(N) on K3 in the large N, fixed g limit and show that it undergoes a first order phase transition at the S-duality invariant value of the…

High Energy Physics - Theory · Physics 2007-05-23 Kyriakos Papadodimas

The superconformal index of the $\mathcal{N}=4$ SU(N) supersymmetric Yang-Mills theory counts the 1/16-BPS states in this theory, and has been used via the AdS/CFT correspondence to count black hole microstates of 1/16-BPS black holes. On…

High Energy Physics - Theory · Physics 2022-09-09 Ofer Aharony , Francesco Benini , Ohad Mamroud , Elisa Milan

We consider a black hole solution whose spatial boundary is a squashed three sphere in Einstein gravity with negative cosmological constant. We solve the Einstein equations numerically and find a warped AdS black hole solution with…

High Energy Physics - Theory · Physics 2009-08-11 Keiju Murata , Tatsuma Nishioka , Norihiro Tanahashi

We investigate thermodynamic aspects of black holes in the recently formulated four dimensional Gauss-Bonnet theory of gravity, focusing on its asymptotically de Sitter ($\Lambda>0$) solutions. We take a Euclidean path integral approach,…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Gareth Arturo Marks , Fil Simovic , Robert B. Mann

We investigate the thermodynamics of a four-dimensional charged black hole in a finite cavity in asymptotically flat and asymptotically de Sitter space. In each case, we find a Hawking-Page-like phase transition between a black hole and a…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip , S. Vaidya

In this work, we construct an exact spherically symmetric black hole solution with a global monopole in the context of four-dimensional noncommutative Einstein-Gauss-Bonnet gravity. We modeled the spacetime noncommutativity via a…

General Relativity and Quantum Cosmology · Physics 2026-01-07 B. Hamil

Lee-Yang zero theory plays a crucial role in phase transition theory and is widely employed in the critical behavior of statistical thermodynamics. The supercritical regime of black hole thermodynamics remains a relatively unexplored area,…

High Energy Physics - Theory · Physics 2025-11-14 Zhi-Yuan Li , Xuan-Rui Chen , Bin Wu , Zhen-Ming Xu