2017/10/31 by R. Kumar, Debmalya Mukhopadhyay
Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Gauge symmetry #Gauge theory #Grassmannian #Invariant (physics) #Lagrangian #Nilpotent #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Superfield #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1140/epjc/s10052-018-5933-7
published as Eur. Phys. J. C (2018) 78: 452 · LaTex file, 25 Pages, 1 figure, version to appear in Eur. Phys. J. C (2018)
openalex created_date 2017/11/10 · openalex publication_date 2018/06/01 · arxiv created 2018/07/03 · arxiv updated 2018/07/04 · openalex updated_date 2026/08/05
We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry transformations corresponding to the combined “scalar” and “vector” gauge symmetry transformations for the (3+1) -dimensional (4D) topologically massive non-Abelian (B \wedge F) theory with the help of geometrical superfield formalism. For this purpose, we use three horizontality conditions (HCs). The first HC produces the (anti-)BRST transformations for the 1-form gauge field and corresponding (anti-)ghost fields whereas the second HC yields the (anti-)BRST transformations for 2-form field and associated (anti-)ghost fields. The integrability of second HC produces third HC. The latter HC produces the (anti-)BRST symmetry transformations for the compensating auxiliary vector field and corresponding ghosts. We obtain five (anti-)BRST invariant Curci–Ferrari (CF)-type conditions which emerge very naturally as the off-shoots of superfield formalism. Out of five CF-type conditions, two are fermionic in nature. These CF-type conditions play a decisive role in providing the absolute anticommutativity of the (anti-)BRST transformations and also responsible for the derivation of coupled but equivalent (anti-)BRST invariant Lagrangian densities. Furthermore, we capture the (anti-)BRST invariance of the coupled Lagrangian densities in terms of the superfields and translation generators along the Grassmannian directions θ and θ .