Elsevier

Physics Letters B

Volume 466, Issues 2–4, 4 November 1999, Pages 227-233
Physics Letters B

Equivalence of Chern-Simons gauge theory and WZNW model using a BRST symmetry

https://doi.org/10.1016/S0370-2693(99)01138-7Get rights and content

Abstract

The equivalence between the Chern-Simons gauge theory on a three-dimensional manifold with boundary and the WZNW model on the boundary is established in a simple and general way using the BRST symmetry. Our approach is based on restoring gauge invariance of the Chern-Simons theory in the presence of a boundary. This gives a correspondence to the WZNW model that does not require solving any constraints, fixing the gauge or specifying boundary conditions.

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Acknowledgements

We would like to thank Steve Carlip for enlightening discussions concerning his work. We are also indebted to Ioannis Bakas for pointing out the work in Refs. 7, 8.

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