nLab
asymptotic isometry

Idea

Considering a class of diffeomorphisms which are not isometries but change metrics a tiny bit, with some asymptotic boundary conditions.

This is useful to obtain conformal symmetry algebras in some physical theories of gravity, esp. in 3D.

  • J. Brown, M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Comm. Math. Phys. 104 (1986) 207 (key paper!!) euclid

  • Coussaert, M. Henneaux, P. van Driel, Class. Quant. Grav. 12 (1995) 2961

…Brown-Henneaux boundary condition

  • Marc Henneaux, Claudio Teitelboim, Asymptotically anti-de Sitter spaces, Comm. Math. Phys. 98, Number 3 (1985), 391-424, euclid

New developments

  • Marc Henneaux, Soo-Jong Rey, Nonlinear W(infinity) algebra as asymptotic symmetry of 3-dimensional higher spin Anti-de Sitter gravity, arxiv/1008.4579

Revised on August 30, 2010 17:10:08 by Zoran Škoda (77.237.105.247)