Large-N limit of N = 2 supersymmetric QN model in two dimensions

Kiyoshi Higashijima, Tetsuji Kimura, Muneto Nitta, Makoto Tsuzuki

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17 Citations (Scopus)


We investigate non-perturbative structures of the two-dimensional script N = 2 supersymmetric nonlinear sigma model on the quadric surface QN-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 CPN-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 languageEnglish
Pages (from-to)261-285
Number of pages25
JournalProgress of Theoretical Physics
Issue number2
Publication statusPublished - 2001 Feb
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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