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Real time holography is studied in the context of the embedding space formalism. In the first part of this paper, we present matching conditions for on-shell integer spin fields when going from Euclidean to Lorentzian signature on AdS…

High Energy Physics - Theory · Physics 2024-03-29 Zezhuang Hao

The correlation function in Ads/CFT are correlation of the operator insertions on the boundary (at CFT) through the complete geometry of bulk. These are represented by Witten diagrams which at tree level doesn't have any quantum…

High Energy Physics - Theory · Physics 2024-05-20 Aryaman Mishra

We construct a symplectic isomorphism, h, from classical Klein Gordon solutions of mass m on (d+1)-dimensional Lorentzian Anti de Sitter space (equipped with the usual symplectic form) to a certain symplectic space of functions on its…

High Energy Physics - Theory · Physics 2008-11-26 Bernard S. Kay , Peter Larkin

A simple algebraic global isometric embedding is presented for the nonrotating BTZ black hole and its counterpart of Euclidean signature. The image of the embedding, in Minkowski space of two extra dimensions, is the interection of two…

General Relativity and Quantum Cosmology · Physics 2011-07-08 Steven Willison

Any $(d+1)$-dimensional CFT with a $U(1)$ flavor symmetry, a BPS bound and an exactly marginal coupling admits a decoupling limit in which one zooms in on the spectrum close to the bound. This limit is an In\"on\"u-Wigner contraction of…

High Energy Physics - Theory · Physics 2018-05-18 Jelle Hartong , Yang Lei , Niels A. Obers , Gerben Oling

The AdS/CFT correspondence provides a unique way to study the vortex matter phases in superconductors. We solved the nonlinear equations of motion for the Abelain-Higgs theory living on the AdS$_4$ black hole boundary that is dual to a two…

High Energy Physics - Theory · Physics 2022-01-19 Chuan-Yin Xia , Hua-Bi Zeng , Yu Tian , Chiang-Mei Chen , Jan Zaanen

Based on the perturbation expansion, we compute the noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole, where the noncommutative background is suitably constructed in terms of…

High Energy Physics - Theory · Physics 2022-10-11 Zhang-Cheng Liu , Yan-Gang Miao

According to the holographic picture of 't Hooft and Susskind, the black hole entropy, $S_{\rm BH}$, is carried by the chaotic microscopic degrees of freedom, that live in the near horizon geometry and have a Hilbert space of states of…

High Energy Physics - Theory · Physics 2023-02-13 Minos Axenides , Emmanuel Floratos , Stam Nicolis

We construct a one-parameter family of exact time-dependent solutions to 2+1 gravity with a negative cosmological constant and a massless minimally coupled scalar field as source. These solutions present a continuously self-similar (CSS)…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gerard Clement , Alessandro Fabbri

In the AdS/CFT framework, vacuum and excited states are systematically described by imposing arbitrary Dirichlet boundary conditions at the AdS boundary. Furthermore, there are explicit relations connecting the quantum states to their…

High Energy Physics - Theory · Physics 2025-08-27 Marcelo Botta-Cantcheff , Facundo Lorenzo Cruz , Pedro J. Martinez

A remarkable holographic feature of dynamics in AdS space in five dimensions is that it is dual to Hamiltonian theory in physical space-time, quantized at fixed light-front time {\tau} = t+z/c. This light-front holographic principle…

High Energy Physics - Phenomenology · Physics 2013-01-15 Stanley J. Brodsky , Guy F. de Téramond

Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests. In this paper, we show that…

High Energy Physics - Theory · Physics 2019-04-22 Rong-Xin Miao

We derive the reduced Dirac Hamiltonian on the non-rotating BTZ background and use its redshift structure to construct a gauge-covariant single-band lattice model on the constant-time BTZ cylinder. In equal-area coordinates the AdS radius…

High Energy Physics - Theory · Physics 2026-04-17 Kazuki Ikeda , Yaron Oz

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

We glue together two copies of pure AdS spacetime along their conformal boundaries creating a manifold without boundaries. The resulting space, which in dimension $d+2$ we denote by $AdS^{d+2}_\pm$, has the topology of $S^2\times\Sigma^d$,…

High Energy Physics - Theory · Physics 2025-12-25 Cesar Arias

We propose a new approach for using the AdS/CFT correspondence to study quantum black hole physics. The black holes on a brane in an AdS$_{D+1}$ braneworld that solve the classical bulk equations are interpreted as duals of {\it…

High Energy Physics - Theory · Physics 2010-04-06 Roberto Emparan , Alessandro Fabbri , Nemanja Kaloper

Black hole solutions that are asymptotic to $ AdS_5 \times S^5$ or $ AdS_4 \times S^7$ can rotate in two different ways. If the internal sphere rotates then one can obtain a Reissner-Nordstrom-AdS black hole. If the asymptotically AdS space…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , H. S. Reall

Utilizing the conformal-flatness nature of 3-dim. Anti-de Sitter (AdS_3) black hole solution of Banados, Teitelboim and Zanelli, the quantisation of conformally-coupled scalar and spinor fields in this background spacetime is explicitly…

High Energy Physics - Theory · Physics 2009-10-30 Hongsu Kim , Jae-Sok Oh , Changrim Ahn

We continue the study of Carroll limits on partition functions of relativistic conformal theories and their thermodynamics. By introducing imaginary chemical potentials $v$ conjugate to momenta, one can access and study the Carroll regime…

High Energy Physics - Theory · Physics 2025-03-27 Georgios Poulias , Stefan Vandoren

We examine how the (2+1)-dimensional AdS space is covered by the Fefferman-Graham system of coordinates for Minkowski, Rindler and static de Sitter boundary metrics. We find that, in the last two cases, the coordinates do not cover the full…

High Energy Physics - Theory · Physics 2013-05-30 N. Tetradis
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