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

Måns Henningson (Institutionen för fundamental fysik, Elementarpartikelfysik)
Journal of High Energy Physics (1029-8479). Vol. 1211 (2012), p. 013.
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2013-01-15. Senast ändrad 2017-06-28.
CPL Pubid: 170651


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Institutioner (Chalmers)

Institutionen för fundamental fysik, Elementarpartikelfysik (2005-2013)



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