Infinite symmetry on the boundary of SL(3)/SO(3)
  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. 
Heikki Arponen
hep-th math-ph math.DG math.MP