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Related papers: $T\overline{T}$ and the black hole interior

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We show that one may pass from bulk to boundary thermodynamic quantities for rotating AdS black holes in arbitrary dimensions so that if the bulk quantities satisfy the first law of thermodynamics then so do the boundary CFT quantities.…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , M. J. Perry , C. N. Pope

The near horizon limit of the extremal BTZ black hole is a``self-dual orbifold'' of AdS_3. This geometry has a null circle on its boundary, and thus the dual field theory is a Discrete Light Cone Quantized (DLCQ) two dimensional CFT. The…

High Energy Physics - Theory · Physics 2010-02-11 Vijay Balasubramanian , Jan de Boer , M. M. Sheikh-Jabbari , Joan Simon

We study holographic conformal order compactified on $S^3$. The corresponding boundary CFT$ _4$ has a thermal phase with a nonzero expectation value of a certain operator. The gravitational dual to the ordered phase is represented by a…

High Energy Physics - Theory · Physics 2021-11-17 Alex Buchel

Two quantum theories which look different but are secretly describing the same low-energy physics are said to be dual to each other. When realized in the Topological Holography formalism, duality corresponds to changing the gapped boundary…

Strongly Correlated Electrons · Physics 2025-08-12 Robijn Vanhove , Vibhu Ravindran , David T. Stephen , Xiao-Gang Wen , Xie Chen

In this paper we consider the maximal volume and the action, which are conjectured to be gravity duals of the complexity, in the black hole geometries with end of the world branes. These geometries are duals of boundary states in CFTs which…

High Energy Physics - Theory · Physics 2020-03-18 Tokiro Numasawa

Recent progress in AdS/CFT has provided a good understanding of how the bulk spacetime is encoded in the entanglement structure of the boundary CFT. However, little is known about how spacetime emerges directly from the bulk quantum theory.…

High Energy Physics - Theory · Physics 2023-07-24 Thomas G. Mertens , Joan Simón , Gabriel Wong

It was shown recently, building on work of Alexakis, Balehowksy, and Nachman that the geometry of (some portion of) a manifold with boundary is uniquely fixed by the areas of a foliation of two-dimensional disk-shaped surfaces anchored to…

High Energy Physics - Theory · Physics 2021-02-03 Ning Bao , ChunJun Cao , Sebastian Fischetti , Jason Pollack , Yibo Zhong

We explore physics behind the horizon in eternal AdS Schwarzschild black holes. In dimension d >3, where the curvature grows large near the singularity, we find distinct but subtle signals of this singularity in the boundary CFT…

High Energy Physics - Theory · Physics 2009-11-10 Lukasz Fidkowski , Veronika Hubeny , Matthew Kleban , Stephen Shenker

The Schwarzschild singularity is known to be classically unstable. We demonstrate a simple holographic consequence of this fact, focusing on a perturbation that is uniform in boundary space and time. Deformation of the thermal state of the…

High Energy Physics - Theory · Physics 2020-08-26 Alexander Frenkel , Sean A. Hartnoll , Jorrit Kruthoff , Zhengyan D. Shi

Black-hole formation is expected, via holography, to correspond to thermalization in the boundary theory. For open quantum systems, an initial pure state generically evolves into a mixed state irreversibly, suggesting that horizon formation…

High Energy Physics - Theory · Physics 2026-05-15 Ryo Adachi , Rumi Hasegawa , Takanori Ishii , Daichi Takeda

We consider the process of black hole formation in particle collisions in the exactly solvable framework of 2+1 dimensional Anti de Sitter gravity. An effective Hamiltonian describing the near horizon dynamics of a head on collision is…

High Energy Physics - Theory · Physics 2009-11-07 Antal Jevicki , Jesse Thaler

The holographic charged fluid with anomalous current in Einstein-Maxwell gravity has been generalized from the infinite boundary to the finite cutoff surface by using the gravity/fluid correspondence. After perturbing the boosted…

High Energy Physics - Theory · Physics 2014-07-01 Xiaojian Bai , Ya-Peng Hu , Bum-Hoon Lee , Yun-Long Zhang

We study a $T^2$ deformation of large $N$ conformal field theories, a higher dimensional generalization of the $T\bar T$ deformation. The deformed partition function satisfies a flow equation of the diffusion type. We solve this equation by…

High Energy Physics - Theory · Physics 2020-10-28 Alexandre Belin , Aitor Lewkowycz , Gabor Sarosi

We study the quantum dynamics of a probe scalar field in the background of a black hole in AAdS spacetime in the Hamiltonian formulation of general relativity in the maximal slicing gauge. The black hole solution in this gauge is expressed…

High Energy Physics - Theory · Physics 2025-10-28 Anurag Kaushal , Naveen S. Prabhakar , Spenta R. Wadia

It has been proposed that quantum complexity is dual to the volume of the extremal surface, the action of the Wheeler-DeWitt patch, and the spacetime volume of the patch. Recently, a generalized volume-complexity observable was formulated…

High Energy Physics - Theory · Physics 2023-11-27 Xuanhua Wang , Ran Li , Jin Wang

We extend the holographic duality between 3d pure gravity and the 2d Ising CFT proposed in [Phys. Rev. D 85 (2012) 024032] to CFTs with boundaries. Besides the usual asymptotic boundary, the dual bulk spacetime now has a real cutoff, on…

High Energy Physics - Theory · Physics 2021-06-08 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

The physics of gravitational waves and other classical fields on specifically four-dimensional backgrounds of black holes exhibits electric-magnetic-like dualities. In this paper, we discuss the structure of such dualities in terms of…

High Energy Physics - Theory · Physics 2025-10-08 Sašo Grozdanov , Mile Vrbica

Motivated by the novel asymptotically global AdS$_4$ solutions with deforming horizon in [JHEP {\bf 1802}, 060 (2018)], we analyze the boundary metric with odd multipolar differential rotation and numerically construct a family of deforming…

High Energy Physics - Theory · Physics 2019-11-06 Shuo Sun , Tong-Tong Hu , Hong-Bo Li , Yong-Qiang Wang

We consider a class of pure black hole microstates and demonstrate that they can be made escapable by turning on certain double trace deformations in the CFT. These microstates are dual to BCFT states prepared via a Euclidean path integral…

High Energy Physics - Theory · Physics 2018-03-14 Ahmed Almheiri , Alexandros Mousatov , Milind Shyani

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small