## 抄録

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.

本文言語 | English |
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ページ（範囲） | 261-285 |

ページ数 | 25 |

ジャーナル | Progress of Theoretical Physics |

巻 | 105 |

号 | 2 |

DOI | |

出版ステータス | Published - 2001 2月 |

外部発表 | はい |

## ASJC Scopus subject areas

- 物理学および天文学（その他）

## フィンガープリント

「Large-N limit of N = 2 supersymmetric Q^{N}model in two dimensions」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。