The Batalin-Vilkovisky formalism description of self-dual Chern-Simons gauge theory coupled to matter fields in superspace

摘要

We construct the extended BRST and anti-BRST transformation by considering a shift symmetry both in Abelian and non-Abelian Chern-Simons theories coupled to scalar fields using the approach of Batalin-Vilkovisky quantization. The extended BRST invariant Lagrangian density is able to be addressed in the framework of superfield formalism with one fermionic coordinate. In the case of extended BRST-anti-BRST symmetry, it is shown that the Batalin-Vilkovisky action of the theory can be expressed in a covariant form with two fermionic coordinates in the superspace.