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Related papers: Higher-spin Chern-Simons theories in odd dimension…

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We consider the coupling of a symmetric spin-3 gauge field to three-dimensional gravity in a second order metric-like formulation. The action that corresponds to an SL(3,R) x SL(3,R) Chern-Simons theory in the frame-like formulation is…

High Energy Physics - Theory · Physics 2013-09-13 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger , Stefan Theisen

In this note, we revisit the 4-dimensional theory of massive gravity through compactification of an extra dimension and geometric symmetry breaking. We dimensionally reduce the 5-dimensional topological Chern-Simons gauge theory of (anti)…

High Energy Physics - Theory · Physics 2020-10-20 Mahdi Torabian

Higher spin gravity is an interesting toy model of stringy geometry. Particularly intriguing is the presence of higher spin gauge transformations that redefine notions of invariance in gravity: the existence of event horizons and…

High Energy Physics - Theory · Physics 2015-05-28 Martin Ammon , Michael Gutperle , Per Kraus , Eric Perlmutter

The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin s=0,2,4,.. that arise in the symmetric product of two spin 0 singletons. It is based on an infinite dimensional extension of the AdS_4…

High Energy Physics - Theory · Physics 2009-11-07 E. Sezgin , P. Sundell

We study SL(N,R) Chern-Simons gauge theories in three dimensions. The choice of the embedding of SL(2,R) in SL(N,R), together with asymptotic boundary conditions, defines a theory of higher spin gravity. Each inequivalent embedding leads to…

High Energy Physics - Theory · Physics 2012-08-02 Alejandra Castro , Eliot Hijano , Arnaud Lepage-Jutier

The most general theory of gravity in d-dimensions which leads to second order field equations for the metric has [(d-1)/2] free parameters. It is shown that requiring the theory to have the maximum possible number of degrees of freedom,…

High Energy Physics - Theory · Physics 2009-10-31 Ricardo Troncoso , Jorge Zanelli

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…

High Energy Physics - Theory · Physics 2010-12-09 Marc Henneaux , Soo-Jong Rey

Chern-Simons theories in three dimensions are topological field theories that may have a holographic interpretation for suitable chosen gauge groups and boundary conditions on the fields. Conformal Chern-Simons gravity is a topological…

High Energy Physics - Theory · Physics 2015-06-19 H. Afshar , A. Bagchi , S. Detournay , D. Grumiller , S. Prohazka , M. Riegler

In this paper three dimensional higher spin theories in the Chern-Simons formulation with gauge algebra $sl(N,R)$ are investigated which have Lifshitz symmetry with scaling exponent $z$. We show that an explicit map exists for all $z$ and…

High Energy Physics - Theory · Physics 2015-10-14 Matteo Beccaria , Michael Gutperle , Yi Li , Guido Macorini

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 conical defect geometries in the SL(N) Chern-Simons formulation of higher spin gauge theories in AdS_3. We argue that (for N\geq 4) there are special values of the deficit angle for which these geometries are actually smooth…

High Energy Physics - Theory · Physics 2015-06-03 Alejandra Castro , Rajesh Gopakumar , Michael Gutperle , Joris Raeymaekers

We study the three-dimensional theory of two Chern-Simons gauge fields coupled to a scalar field in the bifundamental representation of the $SU(N)_k \times SU(M)_{-k}$ gauge group. At small but fixed $M \ll N$, this system approaches the…

High Energy Physics - Theory · Physics 2015-06-16 Shamik Banerjee , Djordje Radicevic

We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the N=4 d=3 supersymmetric gauge theory…

High Energy Physics - Theory · Physics 2015-05-13 Anton Kapustin , Natalia Saulina

We consider unconstrained formulation of the higher spin gauge theory in anti de Sitter (AdS) spacetime, given by actions [1, 2], and provide on-shell supersymmetry transformations for the $\mathcal{N}=1$ unconstrained massless higher spin…

High Energy Physics - Theory · Physics 2022-01-05 Mojtaba Najafizadeh

Five dimensional Chern-Simons theory with (anti-)de Sitter SO(1,5) or SO(2,4) gauge invariance presents an alternative to General Relativity with cosmological constant. We consider the zero-modes of its Kaluza-Klein compactification to four…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

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 Chern-Simons (CS) theory in three dimensions with a compact gauge group G is studied. Starting from the BRST quantization of the theory defined in R^3, the values of gauge invariants observables are computed in any closed and orientable…

High Energy Physics - Theory · Physics 2009-09-25 Luigi Pilo

We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic…

High Energy Physics - Theory · Physics 2010-11-08 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger , Stefan Theisen

We show that topological 3D gravity with torsion can be formulated as a Chern-Simons gauge theory, provided a specific parameter, known as the effective cosmological constant, is negative. In that case, the boundary dynamics of the theory…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Blagojevic , M. Vasilic

We study the resolution of certain cosmological singularity in the context of higher-spin three-dimensional gravity. We consider gravity coupled to a spin-3 field realized as Chern-Simons theory with gauge group $SL(3,\mathbb{C})$. In this…

High Energy Physics - Theory · Physics 2013-09-10 Benjamin Burrington , Leopoldo A. Pando Zayas , Nicholas Rombes