A superspace description of Chern-Simons theory in Batalin-Vilkovisky formulation

Abstract

We discuss the extended BRST and anti-BRST symmetry (including shift symmetry) in the Batalin-Vilkovisky (BV) formulation for the Chern-Simons (CS) theories in $(2+1)$ spacetime dimensions. Further we develop the superspace description of BV formulation for such theories. Interestingly, the extended BRST invariant CS theories can be described in superspace in covariant manner with the help of one more (Grassmann) coordinate. However, a superspace with two Grassmann coordinates are required for a manifestly covariant formulation of the extended BRST and extended anti-BRST invariant actions for these theories.

9 Pages, Revtex, No Figs, Journal version, Published in International Journal of Theoretical Physics

References in corpus (6)

• A Superspace Formulation of The BV Action for Higher Derivative Theories
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• ABJM theory in Batalin-Vilkovisky formulation
• Spontaneous Breaking of the BRST Symmetry in the ABJM theory
• Topological Chern-Simons Sigma Model
• BV formulation of higher form gauge theories in a superspace