(2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model

We propose a new group-theoretical (Chern–Simons) formulation for the bi-metric theory of gravity in (2+1)-dimensional spacetime which describe two interacting massless spin-2 fields. Our model has been formulated in terms of two dreibeins rather than two metrics. We obtain our Chern–Simons gravity...

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Main Authors: S. Hoseinzadeh, A. Rezaei-Aghdam
Format: Article
Language:English
Published: Elsevier 2018-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318302995
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author S. Hoseinzadeh
A. Rezaei-Aghdam
author_facet S. Hoseinzadeh
A. Rezaei-Aghdam
author_sort S. Hoseinzadeh
collection DOAJ
description We propose a new group-theoretical (Chern–Simons) formulation for the bi-metric theory of gravity in (2+1)-dimensional spacetime which describe two interacting massless spin-2 fields. Our model has been formulated in terms of two dreibeins rather than two metrics. We obtain our Chern–Simons gravity model by gauging mixed AdS–AdS Lie algebra and show that it has a two dimensional conformal field theory (CFT) at the boundary of the anti de Sitter (AdS) solution. We show that the central charge of the dual CFT is proportional to the mass of the AdS solution. We also study cosmological implications of our massless bi-gravity model.
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spelling doaj.art-c917b2dbea88423b965522eaf274f0bb2022-12-21T22:42:08ZengElsevierPhysics Letters B0370-26932018-06-01781383389(2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity modelS. Hoseinzadeh0A. Rezaei-Aghdam1Department of Physics, Faculty of Science, Azarbaijan Shahid Madani University, 53714-161, Tabriz, IranCorresponding author.; Department of Physics, Faculty of Science, Azarbaijan Shahid Madani University, 53714-161, Tabriz, IranWe propose a new group-theoretical (Chern–Simons) formulation for the bi-metric theory of gravity in (2+1)-dimensional spacetime which describe two interacting massless spin-2 fields. Our model has been formulated in terms of two dreibeins rather than two metrics. We obtain our Chern–Simons gravity model by gauging mixed AdS–AdS Lie algebra and show that it has a two dimensional conformal field theory (CFT) at the boundary of the anti de Sitter (AdS) solution. We show that the central charge of the dual CFT is proportional to the mass of the AdS solution. We also study cosmological implications of our massless bi-gravity model.http://www.sciencedirect.com/science/article/pii/S0370269318302995
spellingShingle S. Hoseinzadeh
A. Rezaei-Aghdam
(2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
Physics Letters B
title (2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
title_full (2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
title_fullStr (2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
title_full_unstemmed (2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
title_short (2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
title_sort 2   1 dimensional interacting model of two massless spin 2 fields as a bi gravity model
url http://www.sciencedirect.com/science/article/pii/S0370269318302995
work_keys_str_mv AT shoseinzadeh 21dimensionalinteractingmodeloftwomasslessspin2fieldsasabigravitymodel
AT arezaeiaghdam 21dimensionalinteractingmodeloftwomasslessspin2fieldsasabigravitymodel