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TFT construction of RCFT correlators III: Simple currents

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arxiv hep-th/0403157 v2 pith:KCA45ZSZ submitted 2004-03-15 hep-th math.CTmath.QA

Juergen Fuchs , Ingo Runkel , Christoph Schweigert This is my paper · ORCID
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keywords simplealgebrasboundaryclassifyconformalcurrentsmodulartheories
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We use simple currents to construct symmetric special Frobenius algebras in modular tensor categories. We classify such simple current type algebras with the help of abelian group cohomology. We show that they lead to the modular invariant torus partition functions that have been studied by Kreuzer and Schellekens. We also classify boundary conditions in the associated conformal field theories and show that the boundary states are given by the formula proposed in hep-th/0007174. Finally, we investigate conformal defects in these theories.

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Cited by 10 Pith papers

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