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We present a general solution for correlators of external boundary operators in black hole states of Jackiw-Teitelboim gravity. We use the Hilbert space constructed using the particle-with-spin interpretation of the Jackiw-Teitelboim…

High Energy Physics - Theory · Physics 2020-05-06 S. Josephine Suh

According to the AdS/CFT correspondence, the geometries of certain spacetimes are fully determined by quantum states that live on their boundaries -- indeed, by the von Neumann entropies of portions of those boundary states. This work…

Quantum Physics · Physics 2023-04-26 Scott Aaronson , Jason Pollack

We argue that the Leutheusser-Liu procedure of isolating a von Neumann algebra in the $N = \infty$ limit of string theories, leads to the algebra of relativistic fermion fields on a half line for the $c = 1$ string theory. This is a Type…

High Energy Physics - Theory · Physics 2025-04-22 T. Banks

We present a Dirac quantization of generic single-horizon black holes in two-dimensional dilaton gravity. The classical theory is first partially reduced by a spatial gauge choice under which the spatial surfaces extend from a black or…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gabor Kunstatter , Jorma Louko

According to a conjecture attributed to Polya and Hilbert, there is a self-adjoint operator whose eigenvalues are the the nontrivial zeros of the Riemann zeta function. We show that the near-horizon dynamics of a massive scalar field in the…

High Energy Physics - Theory · Physics 2010-03-09 Pulak Ranjan Giri

We discuss the construction of bulk operators in asymptotically AdS spacetimes, including the interiors of AdS black holes. We use this to address the question "If Schrodinger's cat were behind the horizon of an AdS black hole, could we…

High Energy Physics - Theory · Physics 2015-06-03 Idse Heemskerk , Donald Marolf , Joseph Polchinski , James Sully

Two dimensional charged black holes in string theory can be obtained as exact (SL(2,R)xU(1))/U(1) quotient CFTs. The geometry of the quotient is induced from that of the group, and in particular includes regions beyond the black hole…

High Energy Physics - Theory · Physics 2009-11-10 Amit Giveon , Eliezer Rabinovici , Amit Sever

We consider the toroidally compactified planar AdS-Schwarzschild solution to 4-dimensional gravity with negative cosmological constant. This has a flat torus conformal boundary metric. We show that if the spatial part of the boundary metric…

High Energy Physics - Theory · Physics 2020-01-10 Krai Cheamsawat , Gary Gibbons , Toby Wiseman

We describe the experience of an observer falling into a black hole using the AdS/CFT correspondence. In order to do this, we reconstruct the local bulk operators measured by the observer along his trajectory outside the black hole. We then…

High Energy Physics - Theory · Physics 2013-11-19 Kyriakos Papadodimas , Suvrat Raju

We examine aspects of locality in perturbative quantum gravity and how information can be localized in subregions. In the framework of AdS/CFT, we consider the algebra of single-trace operators defined in a short time band. We conjecture…

High Energy Physics - Theory · Physics 2023-10-20 Eyoab Bahiru , Alexandre Belin , Kyriakos Papadodimas , Gabor Sarosi , Niloofar Vardian

We argue that the degrees of freedom in a d-dimensional CFT can be re-organized in an insightful way by studying observables on the moduli space of causal diamonds (or equivalently, the space of pairs of timelike separated points). This…

High Energy Physics - Theory · Physics 2016-09-02 Jan de Boer , Felix M. Haehl , Michal P. Heller , Robert C. Myers

We construct stationary non-equilibrium black funnels locally asymptotic to global AdS4 in vacuum Einstein-Hilbert gravity with negative cosmological constant. These are non-compactly-generated black holes in which a single connected bulk…

High Energy Physics - Theory · Physics 2013-03-07 Sebastian Fischetti , Donald Marolf , Jorge E. Santos

In this paper, we study the thermodynamic behavior of charged AdS black holes in a conformal holographic extended thermodynamic. Our setup is constructed using a new dictionary that relates AdS black hole quantities to the corresponding…

High Energy Physics - Theory · Physics 2024-03-26 Yahya Ladghami , Taoufik Ouali

Within the AdS/CFT correspondence, we identify a class of CFT operators which represent diff-invariant and approximately local observables in the gravitational dual. Provided that the bulk state breaks all asymptotic symmetries, we show…

High Energy Physics - Theory · Physics 2024-05-14 Eyoab Bahiru , Alexandre Belin , Kyriakos Papadodimas , Gabor Sarosi , Niloofar Vardian

We construct a Type II$_\infty$ von Neumann algebra that describes the large $N$ physics of single-trace operators in AdS/CFT in the microcanonical ensemble, where there is no need to include perturbative $1/N$ corrections. Using only the…

High Energy Physics - Theory · Physics 2023-04-19 Venkatesa Chandrasekaran , Geoff Penington , Edward Witten

We investigate in more detail the holographic model of a superconductor recently found by Hartnoll, Herzog, and Horowitz [Phys. Rev. Lett. 101, 031601], which is constructed from a condensate of a charged scalar field in AdS_4-Schwarzschild…

High Energy Physics - Theory · Physics 2008-12-18 Kengo Maeda , Takashi Okamura

We study holographic superconductors in the Schwarzschild-AdS black hole with a global monopole through a charged complex scalar field. We calculate the condensates of the charged operators in the dual conformal field theories (CFTs) and…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Songbai Chen , Liancheng Wang , Chikun Ding , Jiliang Jing

The initial motivation for this paper is to discuss a more concrete approach to an approximation theorem of Axler and Shields, which says that the uniform algebra on the closed unit disc closure(D) generated by z and h --- where h is a…

Complex Variables · Mathematics 2010-12-09 Gautam Bharali , Sushil Gorai

In this paper, we use the "complexity equals action" (CA) conjecture to evaluate the holographic complexity in some multiple-horzion black holes for F(Riemann) gravity coupled to a first-order source-free electrodynamics. Motivated by the…

High Energy Physics - Theory · Physics 2020-02-26 Jie Jiang , Ming Zhang

This note is aimed at presenting a new algebraic approach to momentum-space correlators in conformal field theory. As an illustration we present a new Lie-algebraic method to compute frequency-space two-point functions for charged scalar…

High Energy Physics - Theory · Physics 2013-12-13 Satoshi Ohya