N=2 Super-Yang-Mills Theory from a Chern-Simons Action
Dharmesh Jain, Warren Siegel
TL;DR
This paper introduces a Chern-Simons formulation for N=2 Super-Yang-Mills theory in superspace, demonstrating its reduction to known formulations and revealing the non-uniqueness of harmonic hyperspace choices.
Contribution
It provides a novel Chern-Simons action for N=2 SYM in full superspace and explores the relationships and reductions to harmonic and projective hyperspaces.
Findings
Chern-Simons action for N=2 SYM in full superspace
Reduction to usual SYM in harmonic hyperspace
Non-uniqueness of harmonic hyperspace choice and reduction to projective hyperspace
Abstract
We present a Chern-Simons action for N=2 Super-Yang-Mills theory (SYM) in 'full' N=2 superspace (hyperspace) augmented by coordinates of the internal SU(2) group and show that this action can be reduced to the usual SYM action in the Harmonic hyperspace. We also discover that the 'choice' of Harmonic hyperspace is not unique and under suitable conditions, further reduction to the well-known Projective hyperspace is possible.
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