Infinite symmetry on the boundary of SL(3)/SO(3)
Heikki Arponen
TL;DR
This paper investigates the infinite-dimensional asymptotic symmetry algebra of the five-dimensional symmetric space SL(3)/SO(3), drawing parallels to lower-dimensional AdS spaces and exploring implications for Chern-Simons theory and AdS/CFT correspondence.
Contribution
It identifies an infinite-dimensional Lie algebra of asymptotic symmetries for SL(3)/SO(3), extending known results from lower-dimensional AdS spaces.
Findings
Asymptotic symmetries form an infinite-dimensional Lie algebra.
Potential for exact solvability of related Chern-Simons theory.
Implications for AdS/CFT correspondence in higher dimensions.
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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