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arXiv · hep-th/9602179

Non--Abelian Duality, Parafermions and Supersymmetry

Konstadinos Sfetsos
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Abstract

Non--Abelian duality in relation to supersymmetry is examined. When the action of the isometry group on the complex structures is non--trivial, extended supersymmetry is realized non--locally after duality, using path ordered Wilson lines. Prototype examples considered in detail are, hyper--Kahler metrics with SO(3) isometry and supersymmetric WZW models. For the latter, the natural objects in the non--local realizations of supersymmetry arising after duality are the classical non--Abelian parafermions. The canonical equivalence of WZW models and their non--Abelian duals with respect to a vector subgroup is also established.

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Konstadinos Sfetsos. 1996-06-06. Non--Abelian Duality, Parafermions and Supersymmetry. https://doi.org/10.1103/physrevd.54.1682

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