Infinite symmetry on the boundary of SL(3)/SO(3)
arXiv:1111.2295 · doi:10.1063/1.3698287
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.
18 pages; improved introduction and conlcusions; more references; to be published in J. Math. Phys
References in corpus (6)
- Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
- Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
- Holographic and Wilsonian Renormalization Groups
- Symmetries of Holographic Minimal Models
- Quantum W-symmetry in AdS_3
- An introduction to symmetric spaces