Superspace gauge fixing of topological Yang-Mills theories

We revisit the construction of topological Yang-Mills theories of the Witten type with arbitrary space-time dimension and number of shift supersymmetry generators, using a superspace formalism. The super-BF structure of these theories is exploited in order to determine their actions uniquely, up to the ambiguities due to the fixing of the Yang-Mills and BF gauge invariance. UV finiteness to all orders of perturbation theory is proved in a gauge of the Landau type.Received: 29 October 2003, Published online: 18 February 2004Clisthenis P. Constantinidis: Supported in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico CNPq - BrazilOlivier Piguet: Supported in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico CNPq - BrazilWesley Spalenza: Supported in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico CNPq - Brazil