E Harikumar et al 2000 J. Phys. A: Math. Gen. 33 7149 doi:10.1088/0305-4470/33/40/312
E Harikumar1, R P Malik2 and M Sivakumar1
Show affiliationsWe show that the Becchi-Rouet-Stora-Tyutin (BRST)/anti-BRST invariant (3+1)-dimensional two-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.
14F40 de Rham cohomology (See also 14C30, 32C35, 32L10)
14C30 Transcendental methods, Hodge theory (See also 14D07, 32G20, 32J25, 32S35), Hodge conjecture
Issue 40 (13 October 2000)
Received 25 May 2000
E Harikumar et al 2000 J. Phys. A: Math. Gen. 33 7149
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