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Consistent deformations method applied to a topological coupling of antisymmetric gauge fields in D=3

D. M. Medeiros·R. R. Landim·C. A. S. Almeida
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Abstract

In this work we use the method of consistent deformations of the master equation by Barnich and Henneaux in order to prove that an abelian topological coupling between a zero and a two form fields in D=3 has no nonabelian generalization. We conclude that a topologically massive model involving the Kalb-Ramond two-form field does not admit a nonabelian generalization. The introduction of a connection-type one form field keeps the previous result.

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D. M. Medeiros, R. R. Landim, C. A. S. Almeida. 2001-02-27. Consistent deformations method applied to a topological coupling of antisymmetric gauge fields in D=3. https://doi.org/10.1016/s0370-2693(01)00182-4

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