RCFT with defects: Factorization and fundamental world sheets
arXiv:1202.3929 · doi:10.1016/j.nuclphysb.2012.05.011
Abstract
It is known that for any full rational conformal field theory, the correlation functions that are obtained by the TFT construction satisfy all locality, modular invariance and factorization conditions, and that there is a small set of fundamental correlators to which all others are related via factorization - provided that the world sheets considered do not contain any non-trivial defect lines. In this paper we generalize both results to oriented world sheets with an arbitrary network of topological defect lines.
46 pages, several pictures. v2: typos corrected
References in corpus (2)
Cited by in corpus (9)
- Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality
- Parity and Spin CFT with boundaries and defects
- From non-semisimple Hopf algebras to correlation functions for logarithmic CFT
- The logarithmic Cardy case: Boundary states and annuli
- Bulk from boundary in finite CFT by means of pivotal module categories
- Integrable perturbations of conformal field theories and Yetter-Drinfeld modules
- Open Verlinde line operators
- On duality and extended chiral symmetry in the SL(2,R) WZW model
- Hopf and Frobenius algebras in conformal field theory