N=1 super-Chern-Simons theory in Batalin-Vilkovisky formulation

Abstract

We analyse the Abelian $N=1$ super-Chern-Simons model coupled to parity-preserving matter in linear and non-linear gauges with exact BRST invariance. Then we analyse the theory in field/antifield formulation to discuss the model at quantum level. Furthermore, we implement the field/antifield dependent transformation parameter to generalize the BRST symmetry of the theory. The novelty of field/antifield dependent BRST transformation is that under change of variable the Jacobian of the functional integral extends the quantum action from linear gauge to non-linear gauge. The results are established in full generality.

7 pages, no figure, Version to appear in EPL

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• Comments on interactions in the SUSY models
• Maximal Abelian gauge and a generalized BRST transformation
• Non-perturbative to perturbative QCD via the FFBRST
• BRST Quantization of Unimodular Gravity
• Gaugeon formalism in the framework of generalized BRST symmetry
• Green's Functions in Perturbative Quantum Gravity
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• Finite Field-dependent Symmetry in Thirring Model
• Super-group field cosmology in Batalin-Vilkovisky formulation
• Finite BRST Mapping in Higher Derivative Models
• Emergence of Lowenstein-Zimmermann mass terms for QED${}_3$
• Soft-Collinear Effective Theory: BRST Formulation
• Quantum gauge symmetry of reducible gauge theory
• Construction of a Massive ABJM Theory Without Higgs Superfields