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Local theory of solutions for the complex grassmannian andCP N−1 sigma models

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Zeitschrift für Physik C Particles and Fields

Abstract

We study the classical solutions of the complex Grassmannian nonlinear sigma models and of theCP N−1 model in two euclidean dimensions. Exact solutions of various types, which seem to be complete, are constructed explicitly in an elementary way, namely in terms of holomorphic functions and the Gramm-Schmidt orthonormalization procedure. A new type of discrete symmetry transformations which map one solution into another is presented.

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Authors and Affiliations

  1. Research Institute for Theoretical Physics, Hiroshima University, Takehara, 725, Hiroshima, Japan

    Ryu Sasaki

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  1. Ryu Sasaki
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Sasaki, R. Local theory of solutions for the complex grassmannian andCP N−1 sigma models. Z. Phys. C - Particles and Fields 24, 163–170 (1984). https://doi.org/10.1007/BF01571721

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  • DOI: https://doi.org/10.1007/BF01571721

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