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arxiv: 1011.0934 · v1 · pith:KOAIQSLDnew · submitted 2010-11-03 · ✦ hep-th · math-ph· math.MP

Permutation Orbifold of N=2 Supersymmetric Minimal Models

classification ✦ hep-th math-phmath.MP
keywords modelsminimalconformalcurrentsfieldfixedorbifoldpermutation
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In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. By interchanging extensions and permutations of the factors we find a very interesting structure relating various conformal field theories that seems not to be known in literature. Moreover, unexpected exceptional simple currents arise in the extended permuted models, coming from off-diagonal fields. In a few situations they admit fixed points that must be resolved. We determine the complete CFT data with all fixed point resolution matrices for all simple currents of all Z_2-permutations orbifolds of all minimal N=2 models with k\neq 2 mod 4.

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