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

H. Hata·Y. Tanii
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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.

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H. Hata, Y. Tanii. 2001-10-30. Stability of Antisymmetric Tensor Fields of Chern-Simons Type in AdS Spacetime. https://doi.org/10.1016/s0550-3213(01)00656-3

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