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

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

2001-10-24

arxiv.org/abs/hep-th/0110222v4

Nucl.Phys. B624 (2002) 283-298

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, minor changes, references added

Scientific paper

10.1016/S0550-3213(01)00656-3

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.

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