Non-Abelian duality, parafermions, and supersymmetry

Konstadinos Sfetsos
Phys. Rev. D 54, 1682 – Published 15 July 1996
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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 nontrivial, extended supersymmetry is realized nonlocally 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 nonlocal 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.

  • Received 4 March 1996

DOI:https://doi.org/10.1103/PhysRevD.54.1682

©1996 American Physical Society

Authors & Affiliations

Konstadinos Sfetsos*

  • Institute for Theoretical Physics, Utrecht University, Princetonplein 5, TA 3508, The Netherlands

  • *Electronic address: SFETSOS@FYS.RUU.NL

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Vol. 54, Iss. 2 — 15 July 1996

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