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Correlators of a certain one-dimensional superconformal field theory dual to hypermultiplets in AdS$_2\times$S$^2$ exhibit a hidden four-dimensional conformal symmetry which allows one to repackage all tree-level 4-point correlators into a…

High Energy Physics - Theory · Physics 2026-04-02 P. J. Heslop , A. E. Lipstein , M. Santagata

We show that quantum dynamics of any systems with $SU(1,1)$ symmetry give rise to emergent Anti-de Sitter spacetimes in 2+1 dimensions (AdS$_{2+1}$). Using the continuous circuit depth, a quantum evolution is mapped to a trajectory in…

Quantum Gases · Physics 2023-11-15 Chenwei Lv , Qi Zhou

We study the global geometry of a general class of spacetimes of relevance to the supersymmetric $AdS_3/CFT_2$ correspondence in eleven-dimensional supergravity. Specifically, we study spacetimes admitting a globally-defined…

High Energy Physics - Theory · Physics 2008-11-26 Pau Figueras , Oisin A. P. Mac Conamhna , Eoin O Colgain

Holographic duality is argued to relate classes of models that have equivalent unfolded formulation, hence exhibiting different space-time visualizations for the same theory. This general phenomenon is illustrated by the $AdS_4$ higher-spin…

High Energy Physics - Theory · Physics 2015-06-04 Mikhail A. Vasiliev

The nonextremal Kerr black holes have been considered to be holographically dual to two-dimensional (2D) conformal field theories (CFTs). In this paper, we extend the holography to the case of an asymptotically anti--de Sitter (AdS)…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Canisius Bernard , Masoud Ghezelbash

Making use of a recent result of Borchers, an algebraic version of the Bisognano-Wichmann theorem is given for conformal quantum field theories, i.e. the Tomita-Takesaki modular group associated with the von Neumann algebra of a wedge…

funct-an · Mathematics 2011-04-06 R. Brunetti , D. Guido , R. Longo

The symmetry algebra of massless fields living on the 3-dimensional conformal boundary of AdS(4) is shown to be isomorphic to 3d conformal higher spin algebra (AdS(4) higher spin algebra). A simple realization of this algebra on the free…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman

In this note, we present an alternative representation of the conformal block with external scalars in general spacetime dimensions in terms of a finite summation over Appell fourth hypergeometric function ${\bf{F}}_4$. We also construct…

High Energy Physics - Theory · Physics 2020-01-08 Heng-Yu Chen , Hideki Kyono

2+1-dimensional Anti-deSitter gravity is quantized in the presence of an external scalar field. We find that the coupling between the scalar field and gravity is equivalently described by a perturbed conformal field theory at the boundary…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan , Ivo Sachs

Conformal totally symmetric arbitrary spin currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries…

High Energy Physics - Theory · Physics 2009-02-23 R. R. Metsaev

We present a framework for generative machine learning that leverages the holographic principle of quantum gravity, or to be more precise its manifestation as the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, with…

Machine Learning · Computer Science 2026-01-30 Ehsan Mirafzali , Sanjit Shashi , Sanya Murdeshwar , Edgar Shaghoulian , Daniele Venturi , Razvan Marinescu

We introduce a new algebraic framework to describe gravitational scrambling, including the semiclassical limit of any out-of-time-order correlation function that is built out of operator insertions separated by approximately the scrambling…

High Energy Physics - Theory · Physics 2025-08-29 Geoff Penington , Elisa Tabor

Operator algebra of (not necessarily free) higher-spin conformal conserved currents in generalized matrix spaces, that include 3d Minkowski space-time as a particular case, is shown to be determined by an associative algebra $M$ of…

High Energy Physics - Theory · Physics 2015-06-12 O. A. Gelfond , M. A. Vasiliev

Light-cone gauge formulation of fields in AdS space and conformal field theory in flat space adapted for the study of AdS/CFT correspondence is developed. Arbitrary spin mixed-symmetry fields in AdS space and arbitrary spin mixed-symmetry…

High Energy Physics - Theory · Physics 2016-08-12 R. R. Metsaev

We develop the representation of local bulk fields in AdS by non-local operators on the boundary, working in the semiclassical limit and using AdS_2 as our main example. In global coordinates we show that the boundary operator has support…

High Energy Physics - Theory · Physics 2016-09-06 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

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

Flat space holography is an open and hard problem existing several different approaches, which may finally turn out to be consistent with each other, in the literature to tackle it. Focusing on how bulk emergent spacetime is encoded in…

High Energy Physics - Theory · Physics 2023-12-01 Yuefeng Liu

We study the conventional holographic recipes and its real-time extensions in the context of the correspondence between SYK quantum mechanics and JT gravity. We first observe that only closed contours are allowed to have a 2d space-time…

High Energy Physics - Theory · Physics 2023-03-08 Raúl Arias , Marcelo Botta-Cantcheff , Pedro J. Martinez

AdS black holes with planar event horizon topology play a central role in AdS/CFT holography, and particularly in its applications. Generalisations of the known planar black holes can be found by considering the Plebanski--Demianski…

High Energy Physics - Theory · Physics 2015-06-17 Brett McInnes , Edward Teo

The study investigates the gravitational scattering amplitude between two Schwarzschild black holes in a two to two interaction, focusing on the Second Post-Minkowskian correction (2 PM). Analyzing contributions from box and cross-box…

High Energy Physics - Theory · Physics 2024-01-05 Toni Teschke