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A generalized set of asymptotic conditions for higher spin gravity without cosmological constant in three spacetime dimensions is constructed. They include the most general temporal components of the gauge fields that manifestly preserve…

高能物理 - 理论 · 物理学 2015-06-11 Javier Matulich , Alfredo Perez , David Tempo , Ricardo Troncoso

The asymptotic structure of three-dimensional higher-spin anti-de Sitter gravity is analyzed in the metric approach, in which the fields are described by completely symmetric tensors and the dynamics is determined by the standard…

高能物理 - 理论 · 物理学 2015-03-03 Andrea Campoleoni , Marc Henneaux

We investigate the asymptotic symmetry algebra of (2+1)-dimensional higher spin, anti-de Sitter gravity. We use the formulation of the theory as a Chern-Simons gauge theory based on the higher spin algebra hs(1,1). Expanding the gauge…

高能物理 - 理论 · 物理学 2010-12-09 Marc Henneaux , Soo-Jong Rey

We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter supergravity and study its asymptotic symmetries. The theory is described by the Chern-Simons action based on a real, infinite-dimensional higher-spin superalgebra. We…

高能物理 - 理论 · 物理学 2015-06-04 Marc Henneaux , Gustavo Lucena Gómez , Jaesung Park , Soo-Jong Rey

We obtain the asymptotic symmetry algebra of sl(3,R) x sl(3,R) Chern-Simons theory with Dirichlet boundary conditions for fixed chemical potential. These boundary conditions are obeyed by higher spin black holes. For each embedding of…

高能物理 - 理论 · 物理学 2015-06-16 Geoffrey Compère , Wei Song

We consider theories of three dimensional quantum gravity in Anti-de Sitter space which possess massless higher-spin gauge symmetry. The perturbative spectrum of the theory includes higher spin excitations which can be organized into vacuum…

高能物理 - 理论 · 物理学 2013-12-05 Alejandra Castro , Arnaud Lepage-Jutier , Alexander Maloney

In this paper, we explicitly construct an asymptotic $\mathcal{W}_5$ symmetry algebra of the three-dimensional anti-de Sitter $(AdS_3)$ higher spin gravity. We use an $\mathfrak{sl}(5,R) \oplus \mathfrak{sl}(5,R)$ Lie algebra valued…

高能物理 - 理论 · 物理学 2018-10-02 H. T. Özer , Aytül Filiz

We investigate new boundary conditions in three-dimensional asymptotically Anti-de Sitter gravity coupled to higher-spin fields, allowing for arbitrary boundary degrees of freedom. This generalization gives rise to an enlarged algebra of…

高能物理 - 理论 · 物理学 2025-09-19 Arnaud Delfante

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…

高能物理 - 理论 · 物理学 2012-10-25 Max Riegler

We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible In\"on\"u--Wigner…

高能物理 - 理论 · 物理学 2017-01-30 Eric Bergshoeff , Daniel Grumiller , Stefan Prohazka , Jan Rosseel

In this paper we construct a non-perturbative action of the higher spin symmetry algebra on the gravitational phase space. We introduce a symmetry algebroid $\mathcal{T}$ which allows us to include radiation in an algebraic framework. We…

高能物理 - 理论 · 物理学 2026-03-31 Nicolas Cresto , Laurent Freidel

We introduce flat space spin-3 gravity in the presence of chemical potentials and discuss some applications to flat space cosmology solutions, their entropy, free energy and flat space orbifold singularity resolution. Our results include…

高能物理 - 理论 · 物理学 2015-06-23 Michael Gary , Daniel Grumiller , Max Riegler , Jan Rosseel

Anti-de Sitter supergravity models are considered in three dimensions. Precise asymptotic conditions involving a chiral projection are given on the Rarita-Schwinger fields. Together with the known boundary conditions on the bosonic fields,…

高能物理 - 理论 · 物理学 2009-10-31 Maximo Banados , Karin Bautier , Olivier Coussaert , Marc Henneaux , Miguel Ortiz

We consider $n$-dimensional asymptotically anti-de Sitter spacetimes in higher curvature gravitational theories with $n \geq 4$, by employing the conformal completion technique. We first argue that a condition on the Ricci tensor should be…

高能物理 - 理论 · 物理学 2009-11-11 Naoya Okuyama , Jun-ichirou Koga

We generalize the analysis of the asymptotic higher spin symmetries developed in the first three parts of this series by considering the minimal coupling of Einstein Gravity and Yang-Mills theory. We show that there exist symmetry…

高能物理 - 理论 · 物理学 2026-03-30 Nicolas Cresto , Laurent Freidel

Nonlinear higher-spin equations in four dimensions admit a closed two-form that defines a gauge-invariant global charge as an integral over a two-dimensional cycle. In this paper we argue that this charge gives rise to partitions depending…

高能物理 - 理论 · 物理学 2017-04-04 V. E. Didenko , N. G. Misuna , M. A. Vasiliev

We construct a non-perturbative action of the higher spin symmetry algebra on the asymptotic Yang-Mills phase space. We introduce a symmetry algebroid which admits a realization on the asymptotic phase space generated by a Noether charge…

高能物理 - 理论 · 物理学 2026-03-30 Nicolas Cresto

We present the first example of a non-trivial higher spin theory in 3-dimensional flat space. We propose flat-space boundary conditions and prove their consistency for this theory. We find that the asymptotic symmetry algebra is a…

高能物理 - 理论 · 物理学 2013-09-26 Hamid Afshar , Arjun Bagchi , Reza Fareghbal , Daniel Grumiller , Jan Rosseel

We analyze algebraic structure of a relativistic semi-classical Wigner function of particles with spin 1/2 and show that it consistently includes information about the spin density matrix both in two-dimensional spin and four-dimensional…

核理论 · 物理学 2020-06-24 Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski

The asymptotic structure of three-dimensional hypergravity without cosmological constant is analyzed. In the case of gravity minimally coupled to a spin-$5/2$ field, a consistent set of boundary conditions is proposed, being wide enough so…

高能物理 - 理论 · 物理学 2015-11-05 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso
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