Topologically massive non-abelian BF models in arbitrary space-time dimensions. (English) Zbl 0977.81137
Summary: This work extends to the \(D\)-dimensional space-time the topological mass generation mechanism of the non-abelian BF model in four dimensions. In order to construct the gauge invariant non-abelian kinetic terms for a \((D-2)\)-form \(B\) and a 1-form \(A\), we introduce an auxiliary \((D-3)\)-form \(V\). Furthermore, we obtain a complete set of BRST and anti-BRST transformation rules of the fields using the so-called horizontality condition, and construct a BRST/anti-BRST invariant quantum action for the model in \(D\)-dimensional space-time.
MSC:
| 81T45 | Topological field theories in quantum mechanics |
| 81T70 | Quantization in field theory; cohomological methods |
Keywords:
gauge invariant non-abelian kinetic terms; BRST transformation rules; anti-BRST transformation rulesReferences:
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