### Abstract

With the non-Abelian hyper-Kähler quotient by U (M) and SU (M) gauge groups, we give the massive hyper-Kähler sigma models that are not toric in the N = 1 superfield formalism. The U(M) quotient gives N!/[M!(N - M)!] (N is the number of flavors) discrete vacua that may allow various types of domain walls, whereas the SU (M) quotient gives no discrete vacua. We derive a BPS domain-wall solution in the case of N = 2 and M = 1 in the U(M) quotient model.

Original language | English |
---|---|

Pages (from-to) | 1634-1642 |

Number of pages | 9 |

Journal | Physics of Atomic Nuclei |

Volume | 68 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2005 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physics of Atomic Nuclei*,

*68*(10), 1634-1642. https://doi.org/10.1134/1.2121909

**Massive hyper-Kähler sigma models and BPS domain walls.** / Arai, M.; Nitta, Muneto; Sakai, N.

Research output: Contribution to journal › Article

*Physics of Atomic Nuclei*, vol. 68, no. 10, pp. 1634-1642. https://doi.org/10.1134/1.2121909

}

TY - JOUR

T1 - Massive hyper-Kähler sigma models and BPS domain walls

AU - Arai, M.

AU - Nitta, Muneto

AU - Sakai, N.

PY - 2005

Y1 - 2005

N2 - With the non-Abelian hyper-Kähler quotient by U (M) and SU (M) gauge groups, we give the massive hyper-Kähler sigma models that are not toric in the N = 1 superfield formalism. The U(M) quotient gives N!/[M!(N - M)!] (N is the number of flavors) discrete vacua that may allow various types of domain walls, whereas the SU (M) quotient gives no discrete vacua. We derive a BPS domain-wall solution in the case of N = 2 and M = 1 in the U(M) quotient model.

AB - With the non-Abelian hyper-Kähler quotient by U (M) and SU (M) gauge groups, we give the massive hyper-Kähler sigma models that are not toric in the N = 1 superfield formalism. The U(M) quotient gives N!/[M!(N - M)!] (N is the number of flavors) discrete vacua that may allow various types of domain walls, whereas the SU (M) quotient gives no discrete vacua. We derive a BPS domain-wall solution in the case of N = 2 and M = 1 in the U(M) quotient model.

UR - http://www.scopus.com/inward/record.url?scp=27344456042&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27344456042&partnerID=8YFLogxK

U2 - 10.1134/1.2121909

DO - 10.1134/1.2121909

M3 - Article

AN - SCOPUS:27344456042

VL - 68

SP - 1634

EP - 1642

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 10

ER -