Induced scalar potentials for hypermultiplets

Details Induced scalar potentials for hypermultiplets Induced scalar potentials for hypermultiplets

1997-10-24

arxiv.org/abs/hep-th/9710185v1

Phys.Lett. B422 (1998) 179-186

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX, macros included

Scientific paper

10.1016/S0370-2693(98)00029-X

Charged BPS hypermultiplets can develop a non-trivial self-interaction in the Coulomb branch of an N=2 supersymmetric gauge theory, whereas neutral BPS hypermultiplets in the Higgs branch may also have a non-trivial self-interaction in the presence of Fayet-Iliopoulos terms. The exact hypermultiplet low-energy effective action (LEEA) takes the form of the non-linear sigma-model (NLSM) with a hyper-K"ahler metric. A non-trivial scalar potential is also quantum-mechanically generated at non-vanishing central charges, either perturbatively (Coulomb branch), or non-perturbatively (Higgs branch). We calculate the effective scalar potentials for (i) a single charged hypermultiplet in the Coulomb branch and (ii) a single neutral hypermultiplet in the Higgs branch. The first case corresponds to the NLSM with the Taub-NUT (or KK-monopole) metric for the kinetic LEEA, whereas the second one is attached to the NLSM having the Eguchi-Hanson instanton metric.

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