S. Gupta, R. Kumar, R. P. Malik
In the available literature, only the Becchi-Rouet-Stora-Tyutin (BRST) symmetries are known for the Jackiw-Pi model of three (2 + 1)-dimensional (3D) massive non-Abelian gauge theory. We derive the full set of off-shell nilpotent (s_{(a)b}^2 = 0) and absolutely anticommuting (s_b s_{ab} + s_{ab} s_b = 0) (anti-)BRST transformations s_{(a)b} corresponding to the usual Yang-Mills gauge transformations of this model by exploiting the "augmented" superfield formalism where the horizontality condition and gauge invariant restrictions blend together in a meaningful manner. This superfield formalism leads to the derivation of (anti-)BRST invariant Curci-Ferrari restriction which plays a key role in the proof of absolute anticommutativity of s_{(a)b}. The derivation of the proper anti-BRST symmetry transformations is important from the point of view of geometrical objects called gerbes. A novel feature of our present investigation is the derivation of (anti-)BRST transformations for the auxiliary field \rho from our superfield formalism which is neither generated by the (anti-)BRST charges nor obtained from the requirements of nilpotency and/or absolute anticommutativity of the (anti-)BRST symmetries for our 3D non-Abelian 1-form gauge theory.
View original:
http://arxiv.org/abs/1108.1547
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