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

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.

latex, 45 pages. The new version has a new introduction and various minor corrections

References in corpus (1)

• Chern-Simons Gauge Theory on Orbifolds: Open Strings from Three Dimensions

Cited by in corpus (13)

• Reflection and Transmission for Conformal Defects
• TFT construction of RCFT correlators IV: Structure constants and correlation functions
• Defect Lines and Boundary Flows
• The conformal boundary states for SU(2) at level 1
• Conformal Correlation Functions, Frobenius Algebras and Triangulations
• Projections in string theory and boundary states for Gepner models
• Consistent systems of correlators in non-semisimple conformal field theory
• Solitonic sectors, alpha-induction and symmetry breaking boundaries
• Boundary Ground Ring in Minimal String Theory
• The logarithmic Cardy case: Boundary states and annuli
• Bulk from boundary in finite CFT by means of pivotal module categories
• A reason for fusion rules to be even
• Conformal Orbifold Partition Functions from Topologically Massive Gauge Theory