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We discuss various symmetry properties of the Lagrangian density of a four (3+ 1)-dimensional (4D) free Abelian 2-form gauge theory within the framework ofBecchi-Rouet-Stora-Tyutin (BRST) formalism. The present free Abelian gaugetheory is endowed with a Curci-Ferrari type condition which happens to be a keysignature of the 4D non-Abelian 1-form gauge theory. In fact, it is due to theabove condition that the nilpotent BRST and anti-BRST symmetries of the theoryare found to be absolutely anticommuting in nature. For our present 2-formgauge theory, we discuss the BRST, anti-BRST, ghost and discrete symmetryproperties of the Lagrangian densities and derive the corresponding conservedcharges. The algebraic structure, obeyed by the above conserved charges, isdeduced and the constraint analysis is performed with the help of thephysicality criteria where the conserved and nilpotent (anti-)BRST charges playcompletely independent roles. These physicality conditions lead to thederivation of the above Curci-Ferrari type restriction, within the framework ofBRST formalism, from the constraint analysis.

Free Abelian 2-Form Gauge Theory: BRST Approach