The Fibre Bundle Formulation of σ-Model and SUSY σ-Model |
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Authors: | Bo-yu HOU Pei WANG Bo-yuan HOU Li-ning ZHANG |
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Institution: | 1. Institute of Modern Physics, Northwest University, Xi'an 710069, China;
2. Graduate School of Academia Sinica, Beijing 10039, China;
3. International Institute of Theoretical Physics Utah State University, Logan, Utah U.S.A. |
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Abstract: | In this paper, we present an analysis of the general symmetry properties of some physical systems, where especially the method of hμ(x), kμ(x) decomposition of connection is used. Then we reformulate the σ-model and the SUSY σ-model in the framework of fibre bundle theory. By comparisons, we obtain the SUSY partner of "linearized" equation or Lax pair of σ-model. |
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