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Potentials for the supersymmetric nonlinear σ-model

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Abstract

The most general structure for potential terms compatible withN=1,N=2, andN=4 supersymmetry in the nonlinear σ-model in two space-time dimensions is determined. The differential geometry of the internal manifold of the model plays an important role in the method used and in the results. An interesting application of nontrivial dimensional reduction is found.

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Authors and Affiliations

  1. Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA

    Luis Alvarez-Gaumé

  2. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    Daniel Z. Freedman

Authors
  1. Luis Alvarez-Gaumé
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  2. Daniel Z. Freedman
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Communicated by A. Jaffe

Research supported in part by the National Science Foundation under Grants PHY82-15249, PHY82-03669, PHY80-19754, and by the Harvard Society of Fellows

Research supported in part by the National Science Foundation under Grant PHY81-07394

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Alvarez-Gaumé, L., Freedman, D.Z. Potentials for the supersymmetric nonlinear σ-model. Commun.Math. Phys. 91, 87–101 (1983). https://doi.org/10.1007/BF01206053

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  • DOI: https://doi.org/10.1007/BF01206053

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