4.3 Article

Permutation orbifolds of N=2 supersymmetric minimal models

Journal

NUCLEAR PHYSICS B
Volume 845, Issue 2, Pages 212-245

Publisher

ELSEVIER
DOI: 10.1016/j.nuclphysb.2010.12.005

Keywords

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Funding

  1. Dutch Foundation for Fundamental Research of Matter (FOM)
  2. Spanish Ministerio de Ciencia e Innovacion [FPA2008-02968]
  3. Project CONSOLIDER-INGENIO
  4. Programme CPAN [CSD2007-00042]

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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 CET 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 not equal 2 mod 4. (C) 2010 Elsevier B.V. All rights reserved.

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