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Related papers: Chern-Simons-like formulation of 3D MMG-like massi…

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We propose a precise reformulation of 3d quantum gravity with negative cosmological constant in terms of a topological quantum field theory based on the quantization of the Teichm\"uller space of Riemann surfaces that we refer to as…

High Energy Physics - Theory · Physics 2023-10-11 Scott Collier , Lorenz Eberhardt , Mengyang Zhang

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

Extending the works arXiv:1504.05991 and arXiv:1510.02142, we study three dimensional Euclidean higher spin gravity with negative cosmological constant. This theory can be formulated in terms of SL(N,C) Chern-Simons theory. By introducing…

High Energy Physics - Theory · Physics 2017-03-08 Masazumi Honda , Norihiro Iizuka , Akinori Tanaka , Seiji Terashima

This paper deals with the problem of defining off-shell conserved charges in a set of theories known as Chern-Simons-like theories of gravity (CSLTG). The method is derived in a general way, which may find applications in a wide set of…

High Energy Physics - Theory · Physics 2017-11-22 M. R. Setare , H. Adami

We show that minimal massive 3d gravity (MMG), as well as the topological massive gravity, are particular cases of a more general `minimal massive gravity' theory (with a single massive propagating mode) arising upon spontaneous breaking of…

High Energy Physics - Theory · Physics 2020-07-08 Dmitry Chernyavsky , Nihat Sadik Deger , Dmitri Sorokin

We discuss some interesting holographical aspects of three-dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4, R) \times SL(4, R) Chern-Simons theory. Using a recently found technique, we…

High Energy Physics - Theory · Physics 2015-06-03 H. S. Tan

Chern-Simons theory with certain gauge groups is known to be equivalent to a first-order formulation of three-dimensional Einstein gravity with a cosmological constant, where both are purely topological. Here, we extend this correspondence…

High Energy Physics - Theory · Physics 2025-01-07 Leron Borsten , Dimitri Kanakaris , Hyungrok Kim

We initiate the study of a Chern-Simons action associated to the semi-direct sum of the Virasoro algebra with its coadjoint representation. This model extends the standard Chern-Simons formulation of three dimensional flat gravity and is…

High Energy Physics - Theory · Physics 2015-10-05 Glenn Barnich , Gaston Giribet , Mauricio Leston

The linearized equations of `New Massive Gravity' propagate a parity doublet of massive spin-2 modes in 3D Minkowski spacetime, but a different non-linear extension is made possible by `third-way' consistency. There is a `Chern-Simons-like'…

High Energy Physics - Theory · Physics 2018-10-01 Mehmet Özkan , Yi Pang , Paul K. Townsend

Higher-spin gravity in three dimensions is efficiently formulated as a Chern-Simons gauge-theory, typically with gauge algebra sl(N)+sl(N). The classical and quantum properties of the higher-spin theory depend crucially on the embedding…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , M. Gary , D. Grumiller , R. Rashkov , M. Riegler

We construct consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern-Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the Anti-de Sitter groups SO(D-1,2). We propose an invariant…

High Energy Physics - Theory · Physics 2008-11-26 Johan Engquist , Olaf Hohm

For cosmological topologically massive gravity at the chiral point we calculate momentum space 2- and 3-point correlators of operators in the postulated dual CFT on the cylinder. These operators are sourced by the bulk and boundary…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Ivo Sachs

We apply an algebraic double copy construction of gravity from gauge theory to three-dimensional (3D) Chern-Simons theory. The kinematic algebra ${\cal K}$ is the 3D de Rham complex of forms equipped, for a choice of metric, with a graded…

High Energy Physics - Theory · Physics 2024-08-20 Roberto Bonezzi , Felipe Diaz-Jaramillo , Olaf Hohm

A variant of the ADT method for the determination of gravitational charges as integrals at infinity is applied to "Chern-Simons-like" theories of 3D gravity, and the result is used to find the mass and angular momentum of the BTZ black hole…

High Energy Physics - Theory · Physics 2020-01-29 Eric A. Bergshoeff , Wout Merbis , Paul K. Townsend

We construct and discuss solutions of SO(1,2) x SO(1,2) Chern-Simons theory which correspond to multiple BTZ black holes. These solutions typically have additional singularities, the simplest cases being special conical singularities with a…

High Energy Physics - Theory · Physics 2009-10-31 Teresia Mansson , Bo Sundborg

Geometric quantization of 2+1 dimensional pure Yang-Mills theory is studied with focusing on finite large scales. It is previously shown that (Yildirim, 2015, Int. J. Mod. Phys A, 30(7), 1550034), topologically massive Yang-Mills theory…

High Energy Physics - Theory · Physics 2018-02-13 Tuna Yildirim

In this paper we provide a Chern-Simons gravity dual of a two dimensional conformal field theory on a manifold with boundaries, so called boundary conformal field theory (BCFT). We determine the correct boundary action on the end of the…

High Energy Physics - Theory · Physics 2021-05-26 Tadashi Takayanagi , Takahiro Uetoko

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

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

High Energy Physics - Theory · Physics 2022-07-22 Nihat Sadik Deger , Henning Samtleben

Chern-Simons gauge theory is formulated on three dimensional $Z_2$ orbifolds. The locus of singular points on a given orbifold is equivalent to a link of Wilson lines. This allows one to reduce any correlation function on orbifolds to a sum…

High Energy Physics - Theory · Physics 2009-12-15 Petr Horava