Chern-Simons action for inhomogeneous Virasoro group as an extension of three dimensional flat gravity

Abstract

We initiate the study of a Chern-Simons action associated to the semi-direct sum of the Virasoro algebra with its coadjoint representation. This model extends the standard Chern-Simons formulation of three dimensional flat gravity and is similar to the higher-spin extension of three dimensional anti-de Sitter or flat gravity. The extension can also be constructed for the exotic but not for the cosmological constant deformation of flat gravity.

15 pages. Version to appear in J. of Math. Phys

References in corpus (4)

• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Notes on the BMS group in three dimensions: I. Induced representations
• Higher spin theory in 3-dimensional flat space
• Asymptotically flat spacetimes in three-dimensional higher spin gravity

Cited by in corpus (1)

• Non-relativistic limits and three-dimensional coadjoint Poincare gravity