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In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the…

High Energy Physics - Theory · Physics 2025-02-26 Patrick Concha , Javier Matulich , Daniel Pino , Evelyn Rodríguez

It is widely believed that consistent theories of quantum gravity satisfy two basic kinematic constraints: they are free from any global symmetry, and they contain a complete spectrum of gauge charges. For compact, abelian gauge groups,…

High Energy Physics - Theory · Physics 2021-10-19 Ben Heidenreich , Jacob McNamara , Miguel Montero , Matthew Reece , Tom Rudelius , Irene Valenzuela

The asymptotically flat structure of $\mathcal{N}=(2,0)$ supergravity in three spacetime dimensions is explored. The asymptotic symmetries are spanned by an extension of the super-BMS$_3$ algebra, with two independent $\hat{u}(1)$ currents…

High Energy Physics - Theory · Physics 2017-10-11 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

We study global 1- and $(d-2)$-form symmetries for gauge theories based on disconnected gauge groups which include charge conjugation. For pure gauge theories, the 1-form symmetries are shown to be non-invertible. In addition, being the…

High Energy Physics - Theory · Physics 2023-05-10 Guillermo Arias-Tamargo , Diego Rodriguez-Gomez

Recently it has been shown that there is asymptotic BMS-like symmetry associated with the near-horizon geometry of black holes in three and four dimensions. In this paper, we show that the presence of such BMS-like symmetry is a ubiquitous…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Changfu Shi , Jianwei Mei

In this paper, we present the quadratic associative symmetry algebra of the 3D nondegenerate maximally quantum superintegrable system. This is the complete symmetry algebra of the system. It is demonstrated that the symmetry algebra…

Mathematical Physics · Physics 2022-07-25 Mohasena Ahamed , Md Fazlul Hoque

The symmetry algebra of asymptotically flat spacetimes at null infinity in three dimensions is the semi-direct sum of the infinitesimal diffeomorphisms on the circle with an abelian ideal of supertranslations. The associated charge algebra…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Glenn Barnich , Geoffrey Compere

We provide boundary conditions for three-dimensional gravity including boosted Rindler spacetimes, representing the near-horizon geometry of non-extremal black holes or flat space cosmologies. These boundary conditions force us to make some…

High Energy Physics - Theory · Physics 2016-05-04 Hamid Afshar , Stéphane Detournay , Daniel Grumiller , Blagoje Oblak

Near-horizon symmetries are studied for static black hole solutions to Einstein equations containing supertranslation field. We consider general diffeomorphisms which preserve the gauge and the near-horizon structure of the metric.…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Mikhail Z. Iofa

We solve the Killing spinor equations of ${\cal N}=1$ supergravity, with four supercharges, coupled to any number of vector and scalar multiplets in all cases. We find that backgrounds with N=1 supersymmetry admit a null, integrable,…

High Energy Physics - Theory · Physics 2009-10-09 U. Gran , J. Gutowski , G. Papadopoulos

We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius $l$ is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge $c=3l/2G_N$ ($G_N$ is the 3D…

High Energy Physics - Theory · Physics 2020-12-02 Chao-Ming Jian , Andreas W. W. Ludwig , Zhu-Xi Luo , Hao-Yu Sun , Zhenghan Wang

We argue that it is possible to maintain both supersymmetry and integrability in the boundary tricritical Ising field theory. Indeed, we find two sets of boundary conditions and corresponding boundary perturbations which are both…

High Energy Physics - Theory · Physics 2014-11-18 Rafael I. Nepomechie

I start with a scenario where the universe is an abstract space $\mathcal{M}$ having $d$ dimensions. There is a two dimensional surface embedded in it. Embedding is a map from the embedded surface to $\mathcal{M}$ that has a field theory…

General Relativity and Quantum Cosmology · Physics 2021-08-17 Abhishek Goswami

In previous work arXiv:2407.13556, we proposed an extended phase space structure at null infinity accommodating large gauge symmetries for sub$^n$-leading soft theorems in Yang-Mills, via dressing fields arising in the Stueckelberg…

High Energy Physics - Theory · Physics 2026-03-26 Silvia Nagy , Javier Peraza , Giorgio Pizzolo

In many cases, the near-horizon geometry encodes sufficient information to compute conserved charges of a gravitational solution, including thermodynamic quantities. These charges are Noether charges associated to asymptotic isometries that…

High Energy Physics - Theory · Physics 2023-08-09 Gaston Giribet , Juan Laurnagaray , Pedro Schmied

We perform a systematic study of the signatures of fragile topology in over 50 nonmagnetic two-dimensional materials with formula AB$_2$, belonging to space group $P$-$3m1$. Using group theory analysis in the framework of topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Olga Arroyo-Gascón , Sergio Bravo , Leonor Chico , Mónica Pacheco

Surface charges of a $p$-form theory on the boundary of an AdS$_{d+1}$ spacetime are computed. Counter-terms on the boundary produce divergent corner-terms which holographically renormalize the symplectic form. Different choices of boundary…

High Energy Physics - Theory · Physics 2021-11-24 Erfan Esmaeili , Vahid Hosseinzadeh

Recently, a non-relativistic off-shell formulation of three dimensional Newton-Cartan supergravity was proposed as the $c \rightarrow \infty$ limit of three dimensional $\mathcal{N}=2$ supergravity in arXiv:1505.02095. In the present paper…

High Energy Physics - Theory · Physics 2016-06-29 Gino Knodel , Pedro Lisbao , James T. Liu

This study presents comprehensive examples of $\mathfrak{osp}(\mathcal{N}|2)$ Chern$\,-\,$Simons supergravity on $AdS_3$ for $\mathcal{N}>2$. These formulations, which include the most general boundary conditions, represent extensions of…

High Energy Physics - Theory · Physics 2025-01-28 H. T. Özer , Aytül Filiz

We show that the non-linear BMS$_5$ symmetry algebra of asymptotically flat Einstein gravity in five dimensions, as well as the super-BMS$_4$ superalgebra of asymptotically flat supergravity, can be redefined so as to take a direct sum…

High Energy Physics - Theory · Physics 2023-09-15 Oscar Fuentealba , Marc Henneaux