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arXiv · 1209.1798

Ground states of supersymmetric Yang-Mills-Chern-Simons theory

Mans Henningson
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Abstract

We consider minimally supersymmetric Yang-Mills theory with a Chern-Simons term on a flat spatial two-torus. The Witten index may be computed in the weak coupling limit, where the ground state wave-functions localize on the moduli space of flat gauge connections. We perform such computations by considering this moduli space as an orbifold of a certain flat complex torus. Our results agree with those obtained previously by instead considering the moduli space as a complex projective space. An advantage of the present method is that it allows for a more straightforward determination of the discrete electric 't Hooft fluxes of the ground states in theories with non-simply connected gauge groups. A consistency check is provided by the invariance of the results under the mapping class group of a (Euclidean) three-torus.

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Mans Henningson. 2012-09-09. Ground states of supersymmetric Yang-Mills-Chern-Simons theory. https://doi.org/10.1007/jhep11(2012)013

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