Extended BRST–anti-BRST transformations in non-Abelian self-dual Chern–Simons coupling theory
Department of Physics, Zhejiang University, Hangzhou, 310027, People’s Republic of China
2 Center of Mathematical Science, Zhejiang University, Hangzhou, 310027, People’s Republic of China
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Accepted: 28 April 2020
Published online: 25 May 2020
We establish the extended BRST and anti-BRST transformations for non-Abelian relativistic self-dual Chern–Simons theory coupled to scalar fields within the Batalin–Vilkovisky framework. Based on these constructions, we describe the total effective extended BRST-invariant Lagrangian density of the coupling theory by means of superfields with one Grassmann coordinates. Moreover, we need two fermionic variables to reexpress the extended BRST–anti-BRST-invariant Lagrangian in the superspace.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020