## Abstract

We investigate non-perturbative structures of the two-dimensional script N = 2 supersymmetric nonlinear sigma model on the quadric surface Q^{N-2}(C) = SO(N)/SO(N - 2) × U (1), which is a Hermitian symmetric space, and therefore Kähler, by using the auxiliary field and large-N methods. This model contains two kinds of non-perturbatively stable vacua; one of them is the same vacuum as that of the supersymmetric CP^{N-1} model, and the other is a new kind of vacuum, which has not yet been known to exist in two-dimensional nonlinear sigma models, the Higgs phase. We show that both of these vacua are asymptotically free. Although symmetries are broken in these vacua, there appear no massless Nambu-Goldstone bosons, in agreement with Coleman's theorem, due to the existence of two different mechanisms in these vacua, the Schwinger and the Higgs mechanisms.

Original language | English |
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Pages (from-to) | 261-285 |

Number of pages | 25 |

Journal | Progress of Theoretical Physics |

Volume | 105 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2001 Feb |

Externally published | Yes |

## ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)