Infinite symmetry on the boundary of SL(3)/SO(3)

Details Infinite symmetry on the boundary of SL(3)/SO(3) Infinite symmetry on the boundary of SL(3)/SO(3)

2011-11-09

arxiv.org/abs/1111.2295v4

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; improved introduction and conlcusions; more references; to be published in J. Math. Phys

Scientific paper

Asymptotic symmetries of the five dimensional noncompact symmetric space SL(3)/SO(3) are found to form an infinite dimensional Lie algebra, analogously to the asymptotic symmetries of anti-de Sitter spaces in two and three dimensions. Possible exact solvability of the corresponding Chern-Simons theory and the AdS/CFT correspondence to the above mentioned and other noncompact symmetric spaces is discussed.

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