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arxiv: 1111.2295 · v4 · pith:3R36XEKLnew · submitted 2011-11-09 · ✦ hep-th · math-ph· math.DG· math.MP

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

classification ✦ hep-th math-phmath.DGmath.MP
keywords asymptoticdimensionalinfinitenoncompactspacessymmetricsymmetriesabove
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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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