Potentials for the supersymmetric nonlinear σ-model

Luis Alvarez-Gaumé; Daniel Z. Freedman

doi:10.1007/BF01206053

Potentials for the supersymmetric nonlinear σ-model

Luis Alvarez-Gaumé
, Daniel Z. Freedman

Simons Center for Geometry & Physics

Stony Brook University

Massachusetts Institute of Technology

Research output: Contribution to journal › Article › peer-review

183 Scopus citations

Abstract

The most general structure for potential terms compatible with N=1, N=2, and N=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.

Original language	English
Pages (from-to)	87-101
Number of pages	15
Journal	Communications in Mathematical Physics
Volume	91
Issue number	1
DOIs	https://doi.org/10.1007/BF01206053
State	Published - Mar 1983

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title = "Potentials for the supersymmetric nonlinear σ-model",

abstract = "The most general structure for potential terms compatible with N=1, N=2, and N=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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AB - The most general structure for potential terms compatible with N=1, N=2, and N=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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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Potentials for the supersymmetric nonlinear σ-model

Abstract

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