Induced scalar potentials for hypermultiplets

Abstract

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.

12 pages, LaTeX, macros included

References in corpus (3)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Induced hypermultiplet self-interactions in N=2 gauge theories
• Solitons, monopoles and duality: from sine-Gordon to Seiberg-Witten

Cited by in corpus (8)

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• Superconformal hypermultiplets in superspace
• Exact renormalization flow and domain walls from holography
• On exact solutions to quantum N=2 gauge theories
• Exact low-energy effective actions for hypermultiplets in four dimensions
• Dynamical generation of gauge and Higgs bosons in N=2 supersymmetric non-linear sigma-models
• One-loop divergences in the six-dimensional $\mathcal{N}=(1,0)$ hypermultiplet self-coupling model