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We study minimum area surfaces associated with a region, $R$, of an internal space. For example, for a warped product involving an asymptotically $AdS$ space and an internal space $K$, the region $R$ lies in $K$ and the surface ends on…

High Energy Physics - Theory · Physics 2023-05-17 Sumit R. Das , Anurag Kaushal , Gautam Mandal , Kanhu Kishore Nanda , Mohamed Hany Radwan , Sandip P. Trivedi

We present general results on generating $\text{AdS}_2$ solutions to Type II supergravity from $\text{AdS}_3$ solutions via U(1) and SL(2) T-dualities. We focus on a class of Type IIB solutions with small $\mathcal{N}=4$ supersymmetry, that…

High Energy Physics - Theory · Physics 2023-07-26 Andrea Conti , Yolanda Lozano , Niall T. Macpherson

An analogue model for the $\text{AdS}_2$ spacetime has been recently introduced by Mosna, Pitelli and Richartz [Phys. Rev. D 94, 104065 (2016)] by considering sound waves propagating on a fluid with an ill-defined velocity profile at its…

General Relativity and Quantum Cosmology · Physics 2022-07-15 David Q. Aruquipa , Ricardo A. Mosna , J. P. M. Pitelli

The classical Minkowski formula is extended to spacelike codimension-two submanifolds in spacetimes which admit "hidden symmetry" from conformal Killing-Yano two-forms. As an application, we obtain an Alexandrov type theorem for spacelike…

Differential Geometry · Mathematics 2016-07-05 Mu-Tao Wang , Ye-Kai Wang , Xiangwen Zhang

We consider the geometry of anti-de-Sitter (AdS) black hole thermodynamics in four dimensions, where the equation of state in the extended phase space formalism allows explicit comparison with normal fluid systems. We show that for the…

High Energy Physics - Theory · Physics 2021-06-15 Joy Das Bairagya , Kunal Pal , Kuntal Pal , Tapobrata Sarkar

We extend our topological renormalization scheme for Entanglement Entropy to holographic CFTs of arbitrary odd dimensions in the context of the AdS/CFT correspondence. The procedure consists in adding the Chern form as a boundary term to…

High Energy Physics - Theory · Physics 2018-05-30 Giorgos Anastasiou , Ignacio J. Araya , Rodrigo Olea

We start from a generic metric which describes four dimensional stationary black holes in an arbitrary theory of gravity and show that the AdS_2 part of the near horizon geometry is a consequence of the double-horizon limit and finiteness .…

High Energy Physics - Theory · Physics 2008-11-26 H. Arfaei , R. Fareghbal

We develop a new setting in the framework of braneworld holography to describe a pair of coupled and entangled uniformly accelerated universes. The model consists of two branes embedded into AdS space capping off the UV and IR regions,…

High Energy Physics - Theory · Physics 2023-11-07 Sergio E. Aguilar-Gutierrez , Ayan K. Patra , Juan F. Pedraza

We study the entanglement entropy of a free massive scalar field at its ground state in (3+1)-dimensional AdS space in global coordinates. We consider spherical entangling surfaces centered at the origin of AdS. We determine the structure…

High Energy Physics - Theory · Physics 2025-05-23 Konstantinos Boutivas , Dimitrios Katsinis , Ioannis Papadimitriou , Georgios Pastras , Nikolaos Tetradis

In the last two decades the Anti-de Sitter/Conformal Field Theory correspondence (AdS/CFT) has emerged as focal point of many research interests. In particular, it functions as a stepping stone to a still missing full quantum theory of…

High Energy Physics - Theory · Physics 2021-01-25 Stefano Antonini , Brian Swingle

According to the AdS/CFT correspondence, certain quantum many-body systems in $d$-dimensions are equivalent to gravitational theories in $(d+1)$-dimensional asymptotically AdS spacetimes. When a massless particle is sent from the AdS…

High Energy Physics - Theory · Physics 2024-06-18 Motoaki Bamba , Koji Hashimoto , Keiju Murata , Daichi Takeda , Daisuke Yamamoto

In this paper, we present two novel analytic AdS black hole solutions in a two-dimensional dilaton gravity theory with two scalar fields non-minimally coupled to gravity. Our solutions contain two arbitrary integration constants in the…

High Energy Physics - Theory · Physics 2026-03-26 Uriel Noriega-Cornelio , Alfredo Herrera-Aguilar , Cupatitzio Ramírez-Romero

We define a holographic dual to the Donaldson-Witten topological twist of $\mathcal{N}=2$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to $\mathcal{N}=4$ gauged…

High Energy Physics - Theory · Physics 2019-07-30 Pietro Benetti Genolini , Paul Richmond , James Sparks

We calculate the pressure, entropy density, trace anomaly and speed of sound of the gluon plasma using the dilaton potential of Ref. arXiv:0911.0627[hep-ph] in the dilaton-gravity theory of AdS/QCD. The finite temperature observables are…

High Energy Physics - Theory · Physics 2011-02-03 E. Megias , H. J. Pirner , K. Veschgini

Using the covariant phase space formalism, we construct the phase space for non-Abelian gauge theories in $(d+2)$-dimensional Minkowski spacetime for any $d \geq 2$, including the edge modes that symplectically pair to the low energy…

High Energy Physics - Theory · Physics 2024-06-05 Temple He , Prahar Mitra

We show that the complex saddle points of the no-boundary wave function with a positive cosmological constant and a positive scalar potential have a representation in which the geometry consists of a regular Euclidean AdS domain wall that…

High Energy Physics - Theory · Physics 2015-06-03 Thomas Hertog , James Hartle

We construct entangled microstates of a pair of holographic CFTs whose dual semiclassical description includes big bang-big crunch AdS cosmologies in spaces without boundaries. The cosmology is supported by inhomogeneous heavy matter and it…

High Energy Physics - Theory · Physics 2025-07-15 Stefano Antonini , Martin Sasieta , Brian Swingle

We consider singularity theorems in asymptotically anti-de Sitter (AdS) spacetimes. In the first part, we discuss the global methods used to show geodesic incompleteness and see that when the conditions imposed in Hawking and Penrose's…

High Energy Physics - Theory · Physics 2015-06-11 Akihiro Ishibashi , Kengo Maeda

Euclidean AdS wormholes provide a natural setup for studying the AdS/CFT correspondence with multiple boundaries. However, from a bottom-up perspective, they cannot be embedded in the four-dimensional Einstein-AdS-Maxwell theory if these…

High Energy Physics - Theory · Physics 2025-04-29 Fabrizio Canfora , Cristóbal Corral , Borja Diez

We discuss electrostatics in Anti-de-Sitter ($AdS$) spacetime, in global coordinates. We observe that the multipolar expansion has two crucial differences to that in Minkowski spacetime. First, there are everywhere regular solutions, with…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Carlos Herdeiro , Eugen Radu