### Abstract

The Higgs branch of N = 2 supersymmetric gauge theories with non-Abelian gauge groups is described by hyper-Kähler (HK) nonlinear sigma models with potential terms. Using the non-Abelian HK quotient with respect to U(M) and SU(M) gauge groups, we derive the massive HK sigma models that are not toric in the N = 1 superfield formalism and the harmonic superspace formalism. The U(M) quotient gives N!/[M!(N - M)!] discrete vacua that may allow various types of domain walls, whereas the SU(M) quotient gives no discrete vacua.

Original language | English |
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Pages (from-to) | 657-685 |

Number of pages | 29 |

Journal | Progress of Theoretical Physics |

Volume | 113 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2005 Mar 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

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## Cite this

Arai, M., Nitta, M., & Sakai, N. (2005). Vacua of massive hyper-Kähler sigma models with non-Abelian quotient.

*Progress of Theoretical Physics*,*113*(3), 657-685. https://doi.org/10.1143/PTP.113.657