BV formulation of higher form gauge theories in a superspace

Abstract

We discuss the extended BRST and anti-BRST symmetry (including shift symmetry) in the Batalin-Vilkovisky (BV) formulation for two and three form gauge theories. Further we develop the superspace formulation for the BV actions for these theories. We show that the extended BRST invariant BV action for these theories can be written manifestly covariant manner in a superspace with one Grassmann coordinate. On the hand a superspace with two Grassmann coordinates are required for a manifestly covariant formulation of the extended BRST and extended anti-BRST invariant BV actions for higher form gauge theories.

arXiv comment30 pages, No figure, version to appear in EPJC

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• Lorentz Violating $p$-form Gauge Theories in Superspace
• Reducible gauge theories in very special relativity
• A superspace description of Chern-Simons theory in Batalin-Vilkovisky formulation
• A superspace description of Friedmann-Robertson-Walker models
• BRST symmetry and Darboux transformations in Abelian 2-form gauge theory
• Constraints, Symmetry Transformations and Conserved Charges for Massless Abelian 3-Form Theory
• Quantum gauge symmetry of reducible gauge theory
• Noncommutative Gauge Theories: Model for Hodge theory
• St$\ddot{u}$ckelberg-Modified Massive Abelian 3-Form Theory: Constraint Analysis, Conserved Charges and BRST Algebra