Hodge decomposition theorem for Abelian two form gauge theory

Simple item page
dc.creatorHarikumar, E.
dc.creatorMalik, R. P.
dc.creatorSivakumar, M.
dc.date2000-04-20
dc.date2000-10-19
dc.date.accessioned2026-07-07T10:53:22Z
dc.date.available2026-07-07T10:53:22Z
dc.descriptionWe show that the BRST/anti-BRST invariant 3+1 dimensional 2-form gauge theory has further nilpotent symmetries (dual BRST /anti-dual BRST) that leave the gauge fixing term invariant. The generator for the dual BRST symmetry is analogous to the co-exterior derivative of differential geometry. There exists a bosonic symmetry which keeps the ghost terms invariant and it turns out to be the analogue of the Laplacian operator. The Hodge duality operation is shown to correspond to a discrete symmetry in the theory. The generators of all these continuous symmetries are shown to obey the algebra of the de Rham cohomology operators of differential geometry. We derive the extended BRST algebra constituted by six conserved charges and discuss the Hodge decomposition theorem in the quantum Hilbert space of states.
dc.descriptionLaTeX, 18 pages, no figures, minor corrections, references updated, typos corrected, journal reference given
dc.identifierhttps://arxiv.org/abs/hep-th/0004145
dc.identifierhttp://arxiv.org/abs/hep-th/0004145
dc.identifierJ.Phys.A33:7149-7164,2000
dc.identifierdoi:10.1088/0305-4470/33/40/312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185456
dc.subjectHigh Energy Physics - Theory
dc.titleHodge decomposition theorem for Abelian two form gauge theory
dc.typetext

Files

Collections

arXiv