(Anti-)dual-BRST symmetries: Abelian 2-form gauge theory

Centre of Advanced Studies, Physics Department, Banaras Hindu University - Varanasi-221 005, (U. P.), India

Corresponding authors: rudra.prakash@hotmail.com malik@bhu.ac.in

Received: 8 July 2008
Accepted: 17 September 2008

Abstract

We derive the absolutely anticommuting (anti-)dual-BRST symmetry transformations for the appropriate Lagrangian densities of the (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory, under which, the total gauge-fixing term remains invariant. These symmetry transformations are the analogue of the co-exterior derivative of differential geometry, in the same sense, as the absolutely anticommuting (anti-)BRST symmetry transformations are that of the exterior derivative. A bosonic symmetry transformation is shown to be the analogue of the Laplacian operator. The algebraic structures of these symmetry transformations are derived and they are demonstrated to be the reminiscent of the algebra obeyed by the de Rham cohomological operators of differential geometry.