### Abstract

Bogomol'nyi-Prasad-Sormmerfield (BPS) walls and junctions are studied in N = 1 supersymmetric (SUSY) nonlinear sigma models in four spacetime dimensions. New BPS junction solutions connecting N discrete vacua are found for nonlinear sigma models with several chiral scalar superfields. A nonlinear sigma model with a single chiral scalar superfield is also found which has a moduli space of the topology of S^{1} and admits BPS walls and junctions connecting arbitrary points in moduli space. SUSY conditions in nonlinear sigma models are classified either as stationary points of a superpotential or as singularities of the Kähler metric in field space. The total number of SUSY vacua is invariant under holomorphic field redefinitions if we count "runaway vacua" also.

Original language | English |
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Article number | 045016 |

Pages (from-to) | 450161-4501612 |

Number of pages | 4051452 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 65 |

Issue number | 4 |

Publication status | Published - 2002 Feb 15 |

Externally published | Yes |

### ASJC Scopus subject areas

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

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## Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*65*(4), 450161-4501612. [045016].