Non-Abelian duality, parafermions, and supersymmetry

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.1682· OSTI ID:286245

Sfetsos, K ^[1]

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1. Institute for Theoretical Physics, Utrecht University, Princetonplein 5, TA 3508 (The Netherlands)

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. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 286245
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DUALITY
EQUIVALENCE PRINCIPLE
FERMIONS
SO-3 GROUPS
SPACE-TIME
SUPERSYMMETRY
TRANSFORMATIONS