On the infrared limit of the Chern-Simons-Proca theory

Details On the infrared limit of the Chern-Simons-Proca theory On the infrared limit of the Chern-Simons-Proca theory

1994-07-12

arxiv.org/abs/hep-th/9407060v1

Phys.Lett. B336 (1994) 381-387

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, UU-ITP 13/94 and HU-TFT-94-24

Scientific paper

10.1016/0370-2693(94)00949-X

We investigate a modification of the 2+1 dimensional abelian Chern-Simons theory, obtained by adding a Proca mass term to the gauge field. We are particularly interested in the infrared limit, which can be described by two {\it a priori} different "topological" quantum mechanical models. We apply methods of equivariant cohomology and the ensuing supersymmetry to analyze the partition functions of these quantum mechanical models. In particular, we find that a previously discussed phase-space reductive limiting procedure which relates these two models can be seen as a direct consequence of our supersymmetry.

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