paper

Stability of Antisymmetric Tensor Fields of Chern-Simons Type in AdS Spacetime

arXiv:hep-th/0110222 · doi:10.1016/S0550-3213(01)00656-3

Abstract

Stability of massive antisymmetric tensor fields with the Chern-Simons type action in anti de Sitter spacetime is studied. It is found that there exists a complete set of solutions whose energy is conserved and positive definite if the mass is positive. Scalar products of the solutions are shown to be well-defined and conserved. In contrast to the previously studied scalar field case there is no other set of stable solutions with a different kind of boundary condition.

20 pages, LaTeX, minor changes, references added