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arxiv: hep-th/0011021 · v3 · submitted 2000-11-03 · ✦ hep-th

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Generalised twisted partition functions

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classification ✦ hep-th
keywords conformalfunctionsgivespartitiontwistedalgebraicboundarycases
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We consider the set of partition functions that result from the insertion of twist operators compatible with conformal invariance in a given 2D Conformal Field Theory (CFT). A consistency equation, which gives a classification of twists, is written and solved in particular cases. This generalises old results on twisted torus boundary conditions, gives a physical interpretation of Ocneanu's algebraic construction, and might offer a new route to the study of properties of CFT.

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