Correlation functions and boundary conditions in RCFT and three-dimensional topology

1999/12/31 by Giovanni Felder, Jürg Fröhlich, Jürgen Fuchs +1 · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math.QA

paper · pdf

published as Compos.Math. 131 (2002) 189-237 · latex, 45 pages. The new version has a new introduction and various minor corrections

arxiv created 2000/06/17 · arxiv updated 2009/11/30

Abstract

We give a general construction of correlation functions in rational conformal field theory on a possibly non-orientable surface with boundary in terms of 3-dimensional topological quantum field theory. The construction applies to any modular category. It is proved that these correlation functions obey modular and factorization rules. Structure constants are calculated and expressed in terms of the data of the modular category.

Cited by

• The Construction of Correlators in Finite Rigid Logarithmic Conformal Field Theory

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