Asymptotic symmetries of colored gravity in three dimensions
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...
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Online Access: | http://link.springer.com/article/10.1007/JHEP03(2018)104 |
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doaj-b8a8c11fb3184e609054aba2651226e02020-11-24T21:20:54ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018312110.1007/JHEP03(2018)104Asymptotic symmetries of colored gravity in three dimensionsEuihun Joung0Jaewon Kim1Jihun Kim2Soo-Jong Rey3Department of Physics and Research Institute of Basic Science, Kyung Hee UniversitySchool of Physics & Astronomy, Seoul National UniversityDepartment of Physics and Center for Cosmology & Particle Physics, New York UniversitySchool of Physics & Astronomy, Seoul National UniversityAbstract 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 s u N ^ $$ \widehat{\mathfrak{su}(N)} $$ Kac-Moody algebra, supplemented by additional generators corresponding to the massless spin-two adjoint matter fields.http://link.springer.com/article/10.1007/JHEP03(2018)104Chern-Simons Theories1/N Expansion |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Euihun Joung Jaewon Kim Jihun Kim Soo-Jong Rey |
spellingShingle |
Euihun Joung Jaewon Kim Jihun Kim Soo-Jong Rey Asymptotic symmetries of colored gravity in three dimensions Journal of High Energy Physics Chern-Simons Theories 1/N Expansion |
author_facet |
Euihun Joung Jaewon Kim Jihun Kim Soo-Jong Rey |
author_sort |
Euihun Joung |
title |
Asymptotic symmetries of colored gravity in three dimensions |
title_short |
Asymptotic symmetries of colored gravity in three dimensions |
title_full |
Asymptotic symmetries of colored gravity in three dimensions |
title_fullStr |
Asymptotic symmetries of colored gravity in three dimensions |
title_full_unstemmed |
Asymptotic symmetries of colored gravity in three dimensions |
title_sort |
asymptotic symmetries of colored gravity in three dimensions |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-03-01 |
description |
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 s u N ^ $$ \widehat{\mathfrak{su}(N)} $$ Kac-Moody algebra, supplemented by additional generators corresponding to the massless spin-two adjoint matter fields. |
topic |
Chern-Simons Theories 1/N Expansion |
url |
http://link.springer.com/article/10.1007/JHEP03(2018)104 |
work_keys_str_mv |
AT euihunjoung asymptoticsymmetriesofcoloredgravityinthreedimensions AT jaewonkim asymptoticsymmetriesofcoloredgravityinthreedimensions AT jihunkim asymptoticsymmetriesofcoloredgravityinthreedimensions AT soojongrey asymptoticsymmetriesofcoloredgravityinthreedimensions |
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1726002322880856064 |