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TFT construction of RCFT correlators IV: Structure constants and correlation functions
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.ORCID iD: 0000-0003-4081-6234
2005 (English)In: Nuclear Physics B 715 (2005)Article in journal (Refereed)
Abstract [en]

We compute the fundamental correlation functions in two-dimensional rational conformal field theory, from which all

other correlators can be obtained by sewing: the correlators of three bulk fields on the sphere, one bulk and one boundary field on the disk, three boundary fields on the disk, and one bulk field on the cross cap. We also consider conformal defects and calculate the correlators of three defect fields on the sphere and of one defect field on the cross cap.

Each of these correlators is presented as the product of a structure constant and the appropriate conformal two- or

three-point block. The structure constants are expressed as invariants of ribbon graphs in three-manifolds

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Physical Sciences
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URN: urn:nbn:se:kau:diva-24241OAI: diva2:598008
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2014-11-21

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Fuchs, Jürgen
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