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International Journal of Theoretical Physics

, Volume 54, Issue 6, pp 2076–2086 | Cite as

A Superspace Description of Chern-Simons Theory in Batalin-Vilkovisky Formulation

  • Sudhaker Upadhyay
  • Manoj Kumar Dwivedi
  • Bhabani Prasad Mandal
Article

Abstract

We discuss the extended BRST and anti-BRST symmetry (including shift symmetry) in the Batalin-Vilkovisky (BV) formulation for the Chern-Simons (CS) theories in (2 + 1) spacetime dimensions. Further we develop the superspace description of BV formulation for such theories. Interestingly, the extended BRST invariant CS theories can be described in superspace in covariant manner with the help of one more (Grassmann) coordinate. However, a superspace with two Grassmann coordinates are required for a manifestly covariant formulation of the extended BRST and extended anti-BRST invariant actions for these theories.

Keywords

Chern-Simons theory Superspace Batalin-Vilkovisky formulation 

Notes

Acknowledgments

One of us (SU) acknowledges the support from the CNPq-Brazil under the Grant No. 150155/2014-0.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Sudhaker Upadhyay
    • 1
  • Manoj Kumar Dwivedi
    • 2
  • Bhabani Prasad Mandal
    • 2
  1. 1.Departamento de Física TeóricaInstituto de Física, UERJ - Universidade do Estado do Rio de JaneiroRio de JaneiroBrasil
  2. 2.Department of PhysicsBanaras Hindu UniversityVaranasiIndia

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