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Classical Solutions for the Grassmannian Sigma Models and Their Supersymmetric Versions

  • Ryu Sasaki
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 30)

Abstract

In this short note we will present a short introduction to our recent work [1], [2], [3] on the problem of solving the Grassmannian sigma models and their supersymmetric versions in euclidean two dimensional space. Exactly integrable field theoretical models in two dimensions such as the sine-Gordon equation, the massive Thirring models and the O(n) sigma model have provided an interesting theater for discussing the complicated nonlinear interactions in particle physics. Among them the Grassmannian sigma models [4] are particularly interesting because of their many common features with the four dimensional gauge theories and of the simpler structure.

Keywords

Sigma Model Symmetry Transformation Complex Projective Space Grassmann Manifold Instanton Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Ryu Sasaki
    • 1
  1. 1.Research Institute for Theoretical PhysicsHiroshima University, TakeharaHiroshima 725Japan

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