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In this paper we generalize Vasiliev's higher-spin gravity theory in 3d into $\mathcal{N} = (0, 2)$ case, by which we mean that the asymptotic symmetry of such a gravity theory have the structure of 2d $\mathcal{N} = (0, 2)$ superconformal…

High Energy Physics - Theory · Physics 2026-03-23 Zisong Cao

We present the first example of $\mathcal{N}=(2,2)$ formulation for the extended higher-spin $AdS_3$ supergravity with the most general boundary conditions as an extension of the $\mathcal{N} =\,(1,1)$ work, discovered recently by us [1].…

High Energy Physics - Theory · Physics 2022-05-24 H. T. Özer , Aytül Filiz

In this paper, we present a candidate for $\mathcal{N}=(1,1)$ extended higher - spin $AdS_3$ supergravity with the most general boundary conditions discussed by Grumiller and Riegler recently. We show that the asymptotic symmetry algebra…

High Energy Physics - Theory · Physics 2020-11-24 H. T. Özer , Aytül Filiz

An enhanced version of the conformal BMS$_{3}$ algebra is presented. It is shown to emerge from the asymptotic structure of an extension of conformal gravity in 3D by Pope and Townsend that consistently accommodates an additional spin-2…

High Energy Physics - Theory · Physics 2025-04-18 Oscar Fuentealba , Iva Lovrekovic , David Tempo , Ricardo Troncoso

We revisit the higher spin extensions of the anti de Sitter algebra in four dimensions that incorporate internal symmetries and admit representations that contain fermions, classified long ago by Konstein and Vasiliev. We construct the…

High Energy Physics - Theory · Physics 2015-06-11 Ergin Sezgin , Per Sundell

We study the holographic duality between the M x M matrix extension of Vasiliev higher spin theories on AdS3 and the large N limit of SU(N+M)/SU(N) x U(1) type cosets. We present a simplified proof for the agreement of the spectra and…

High Energy Physics - Theory · Physics 2015-06-18 Constantin Candu , Carl Vollenweider

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

We review the basic structure of the higher spin extension of D=4, N=8 AdS supergravity. The theory is obtained by gauging the higher spin superalgebra shs^E(8|4) by a procedure pioneered by Vasiliev. The algebra shs^E(8|4) is a subalgebra…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin , P. Sundell

We investigate systematically the asymptotic dynamics and symmetries of all three-dimensional extended AdS supergravity models. First, starting from the Chern-Simons formulation, we show explicitly that the (super)anti-de Sitter boundary…

High Energy Physics - Theory · Physics 2009-10-31 Marc Henneaux , Liat Maoz , Adam Schwimmer

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

The class of 2d minimal model CFTs with higher spin AdS3 duals is extended to theories with large N=4 superconformal symmetry. We construct a higher spin theory based on the global D(2,1|alpha) superalgebra, and propose a large N family of…

High Energy Physics - Theory · Physics 2015-06-16 Matthias R. Gaberdiel , Rajesh Gopakumar

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…

High Energy Physics - Theory · Physics 2013-09-26 Hamid Afshar , Arjun Bagchi , Reza Fareghbal , Daniel Grumiller , Jan Rosseel

In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-$BMS_3$, the superconformal algebra and new…

High Energy Physics - Theory · Physics 2020-01-14 Ricardo Caroca , Patrick Concha , Octavio Fierro , Evelyn Rodríguez

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…

High Energy Physics - Theory · Physics 2018-10-02 H. T. Özer , Aytül Filiz

The coupling of spin-3 gauge fields to three-dimensional Maxwell and $AdS$-Lorentz gravity theories is presented. After showing how the usual spin-3 extensions of the $AdS$ and the Poincar\'e algebras in three dimensions can be obtained as…

High Energy Physics - Theory · Physics 2018-07-19 Ricardo Caroca , Patrick Concha , Octavio Fierro , Evelyn Rodríguez , Patricio Salgado-Rebolledo

In this paper we study supersymmetric field theories on an AdS_p x S^q space-time that preserves their full supersymmetry. This is an interesting example of supersymmetry on a non-compact curved space. The supersymmetry algebra on such a…

High Energy Physics - Theory · Physics 2016-05-04 Ofer Aharony , Micha Berkooz , Avner Karasik , Talya Vaknin

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

In three dimensions, it is known that field theories possessing extended $(p,q)$ anti-de Sitter (AdS) supersymmetry with ${\cal N}=p+q \geq 3$ can be realised in (2,0) AdS superspace. Here we present a formalism to reduce every field theory…

High Energy Physics - Theory · Physics 2019-08-21 Jessica Hutomo , Sergei M. Kuzenko

We consider two possible flat space limits of three dimensional $\mathcal{N} = (1,1)$ AdS supergravity. They differ by how the supercharges are scaled with the AdS radius $\ell$: the first limit (democratic) leads to the usual…

High Energy Physics - Theory · Physics 2016-12-02 Ivano Lodato , Wout Merbis

We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of…

High Energy Physics - Theory · Physics 2015-05-28 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger
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