Ground states of supersymmetric Yang-Mills-Chern-Simons theory
Journal article, 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.

Author

Måns Henningson

Chalmers, Applied Physics, Theoretical Elementary Particle Physics

Journal of High Energy Physics

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

Vol. 1211 11 013- 013

Subject Categories

Physical Sciences

Roots

Basic sciences

DOI

10.1007/JHEP11(2012)013

More information

Created

10/7/2017