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Asymptotic symmetries of colored gravity in three dimensions

Title
Asymptotic symmetries of colored gravity in three dimensions
Authors
Joung, EuihunKim, Jae WonKim, JihunRey, Soo-Jong
Issue Date
2018-03
Citation
Journal of High Energy Physics(3)
Type
Article
Article Type
Article
Keywords
Field-TheoryMasslessnessSupergravityDynamics
ISSN
1029-8479
Abstract
Three-dimensional colored gravity refers to nonabelian isospin extension of Einstein gravity. We investigate the asymptotic symmetry algebra of the SU(N)-colored gravity in (2+1)-dimensional anti-de Sitter spacetime. Formulated by the Chern-Simons theory with SU(N, N) × SU(N, N) gauge group, the theory contains graviton, SU(N) Chern-Simons gauge fields and massless spin-two multiplets in the SU(N) adjoint representation, thus extending diffeomorphism to colored, nonabelian counterpart. We identify the asymptotic symmetry as Poisson algebra of generators associated with the residual global symmetries of the nonabelian diffeomorphism set by appropriately chosen boundary conditions. The resulting asymptotic symmetry algebra is a nonlinear extension of su(N) ^ Kac-Moody algebra, supplemented by additional generators corresponding to the massless spin-two adjoint matter fields. © 2018, The Author(s).
URI
http://hdl.handle.net/20.500.11750/6214
DOI
10.1007/JHEP03(2018)104
Publisher
Springer Verlag
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