Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories

Details Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories

1997-11-18

arxiv.org/abs/hep-th/9711132v2

Nucl.Phys. B518 (1998) 37-58

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, phyzzx, a footnote and two references added

Scientific paper

10.1016/S0550-3213(98)00135-7

Mass perturbations of the twisted N=4 supersymmetric gauge theory considered by Vafa and Witten to test S-duality are studied for the case of Kahler four-manifolds. It is shown that the resulting mass-perturbed theory can be regarded as an equivariant extension associated to a U(1) symmetry of the twisted theory, which is only present for Kahler manifolds. In addition, it is shown that the partition function, the only topological invariant of the theory, remains invariant under the perturbation.

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