Ground states of supersymmetric Yang-Mills-Chern-Simons theory
Artikel i vetenskaplig tidskrift, 2012

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.


Måns Henningson

Chalmers, Teknisk fysik, Elementarpartikelfysik

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 1211 11 013- 013




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