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We show that self-dual gravity in Euclidean four-dimensional Anti-de Sitter space (AdS$_4$) can be described by a minimally coupled scalar field with a cubic interaction written in terms of a deformed Poisson bracket, providing a remarkably…

High Energy Physics - Theory · Physics 2023-08-03 Arthur Lipstein , Silvia Nagy

Classifying the zero-temperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem is mapped to the classification of extremal charged black brane geometries with…

High Energy Physics - Theory · Physics 2015-06-12 Norihiro Iizuka , Shamit Kachru , Nilay Kundu , Prithvi Narayan , Nilanjan Sircar , Sandip P. Trivedi , Huajia Wang

The potential of the $A_2$ quantum elliptic model (3-body Calogero-Moser elliptic model) is defined by the pairwise three-body interaction through Weierstrass $\wp$-function and has a single coupling constant. A change of variables has been…

Mathematical Physics · Physics 2017-01-05 Vladimir V. Sokolov , Alexander V. Turbiner

In this work we study canonical gravity in finite regions for which we introduce a generalisation of the Gibbons-Hawking boundary term including the Immirzi parameter. We study the canonical formulation on a spacelike hypersuface with a…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Laurent Freidel , Alejandro Perez , Daniele Pranzetti

To each complex reflection group $\Gamma$ one can attach a canonical symplectic singularity $\mathcal{M}_\Gamma$ arXiv:math/9903070. Motivated by the 4D/2D duality arXiv:1312.5344, arXiv:1707.07679, Bonetti, Meneghelli and Rastelli…

Representation Theory · Mathematics 2023-12-07 Tomoyuki Arakawa , Toshiro Kuwabara , Sven Möller

The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in $n$ dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the…

High Energy Physics - Theory · Physics 2023-01-11 Adrien Fiorucci , Romain Ruzziconi

It is often assumed that the area law of micro-state entropy and the holography are intrinsic properties exclusively of the gravitational systems, such as black holes. We construct a non-gravitational model that exhibits an entropy that…

High Energy Physics - Theory · Physics 2018-05-16 Gia Dvali

We study holographic entanglement entropy in four-dimensional quantum gravity with negative cosmological constant. By using the replica trick and evaluating path integrals in the minisuperspace approximation, in conjunction with the…

High Energy Physics - Theory · Physics 2020-04-15 Shinji Hirano

We construct the most general theory of 2D Einstein-dilaton gravity coupled with $U(1)$ gauge fields that contains all the 2-derivative and the 4-derivative interactions allowed by the diffeomorphism invariance. We renormalise the 2D action…

High Energy Physics - Theory · Physics 2021-10-27 Hemant Rathi , Dibakar Roychowdhury

We have a new observation that near horizon symmetry generators, corresponding to diffeomorphisms which leave the horizon structure invariant, satisfy noncommutative Heisenberg algebra. The results are valid for any null surfaces (which has…

General Relativity and Quantum Cosmology · Physics 2017-02-23 Bibhas Ranjan Majhi

An orthogonal basis of the Hilbert space for the quantum spin chain associated with the su(3) algebra is introduced. Such kind of basis could be treated as a nested generalization of separation of variables (SoV) basis for high-rank quantum…

Mathematical Physics · Physics 2016-08-24 Kun Hao , Junpeng Cao , Guang-Liang Li , Wen-Li Yang , Kangjie Shi , Yupeng Wang

The Lie superalgebra SD of regular differential operators on the super circle has a universal central extension \hat{SD}. For each c\in C, the vacuum module M_c(\hat{SD}) of central charge c admits a vertex superalgebra structure, and…

Quantum Algebra · Mathematics 2021-05-21 Thomas Creutzig , Andrew R. Linshaw

The large ${\cal N}=4$ nonlinear superconformal algebra is generated by six spin-$1$ currents, four spin-$\frac{3}{2}$ currents and one spin-$2$ current. The simplest extension of these $11$ currents is described by the $16$ higher spin…

High Energy Physics - Theory · Physics 2019-01-30 Changhyun Ahn

We discuss BPS solitons in gauged ${\cal N}=2$, D=4 supergravity. The solitons represent extremal black holes interpolating between different vacua of anti-de Sitter spaces. The isometry superalgebras are determined and the motion of a…

High Energy Physics - Theory · Physics 2014-11-18 Sergio Cacciatori , Dietmar Klemm , Daniela Zanon

A quantum spin system can be modelled by an equivalent classical system, with an effective Hamiltonian obtained by integrating all non-zero frequency modes out of the path integral. The effective Hamiltonian H_eff(S_i) derived from the…

Quantum Physics · Physics 2007-05-23 J H Samson

In the N=1 supersymmetric coset model based on (A_{N-1}^{(1)} \oplus A_{N-1}^{(1)}, A_{N-1}^{(1)}) at level (k, N), the lowest N=1 higher spin supercurrent with spins-(5/2, 3), in terms of two independent numerator WZW currents, is…

High Energy Physics - Theory · Physics 2015-06-16 Changhyun Ahn

A reducible representation of the Temperley-Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centraliser of this action a quantum algebra (a quasi-triangular Hopf algebra) U_q with a representation…

Quantum Algebra · Mathematics 2009-07-26 P. P. Kulish , N. Manojlovic , Z. Nagy

Motivated by group-theoretical questions that arise in the context of asymptotic symmetries in gravity, we study model spaces and their quantization from the viewpoint of constrained Hamiltonian systems. More precisely, we propose that a…

High Energy Physics - Theory · Physics 2025-08-27 Glenn Barnich , Thomas Smoes

We explicitly construct the extension of the N=2 super Virasoro algebra by two super primary fields of dimension two and three with vanishing u(1)-charge. Using a super covariant formalism we obtain two different solutions both consistent…

High Energy Physics - Theory · Physics 2009-10-28 Ralph Blumenhagen , Andreas Wisskirchen

We analyze asymptotic symmetry algebras in (2+1)-dimensional non-AdS higher-spin gravity with a focus on AdS$_2\times\mathbb{R}$ and $\mathbb{H}_2\times\mathbb{R}$. We find a consistent set of boundary conditions for spin-3 gravity in the…

High Energy Physics - Theory · Physics 2012-10-25 Max Riegler