1994/08/04 by Nelson R. F. Braga, Nelson R.F. Braga, Ashok Das
Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Gauge symmetry #Gauge theory #Invariant (physics) #Lagrangian #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Superspace #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1016/0550-3213(95)00088-a
published as Nucl.Phys.B442:655-668,1995 · 20 pages
arxiv created 1994/08/04 · openalex publication_date 1995/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that the BV (Batalin Vilkovisky) action, formulated with an extended BRST symmetry (including the shift symmetry), is also invariant under an extended anti-BRST transformation (where the antifields are the parameters of the transformation), when the gauge fixing Lagrangian is both BRST and anti-BRST invariant. We show that for a general gauge fixing Lagrangian, the BV action can be written in a manifestly extended BRST invariant manner in a superspace with one Grassmann coordinate whereas it can be expressed in a manifestly extended BRST and anti-BRST invariant manner in a superspace with two Grassmann coordinates when the gauge fixing Lagrangian is invariant under both BRST and anti-BRST transformations.