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

preprint2012arXivOpen access

Abstract

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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