English

The BV Formalization of Chern-Simons Theory on Deformed Superspace

High Energy Physics - Theory 2015-06-05 v1

Abstract

In this paper we will study non-abelian Chern-Simons theory on a deformed superspace. We will deform the superspace in such a way that it includes the noncommutativity between bosonic and fermionic coordinates. We will first analyse the BRST and the anti-BRST symmetries of the Chern-Simons theory on this deformed superspace. Then we will analyse the extended BRST and the extended anti-BRST symmetries of this theory in the Batalin-Vilkovisky (BV) formalism. Finally, we will express these extended BRST and extended anti-BRST symmetries in extended superspace formalism by introducing new Grassmann coordinates.

Keywords

Cite

@article{arxiv.1207.6564,
  title  = {The BV Formalization of Chern-Simons Theory on Deformed Superspace},
  author = {Mir Faizal},
  journal= {arXiv preprint arXiv:1207.6564},
  year   = {2015}
}

Comments

19 pages, 0 figures, accepted for publication in Comm. Theor. Phys