RCFT with defects: Factorization and fundamental world sheets

DOI10.1016/j.nuclphysb.2012.05.011zbMath1246.81324arXiv1202.3929OpenAlexW2064670477MaRDI QIDQ447446

Jürgen Fuchs, Jens Fjelstad, Carl Stigner

Publication date: 3 September 2012

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3929

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items

The logarithmic Cardy case: boundary states and annuli, Integrable perturbations of conformal field theories and Yetter-Drinfeld modules, Functoriality of the center of an algebra, Spin from defects in two-dimensional quantum field theory, Bulk from boundary in finite CFT by means of pivotal module categories, State sum construction of two-dimensional topological quantum field theories on spin surfaces, Cardy algebras, sewing constraints and string-nets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the crossing relation in the presence of defects
• Models for gapped boundaries and domain walls
• Invertible defects and isomorphisms of rational CFTs
• TFT construction of RCFT correlators. IV: Structure constants and correlation functions
• Duality and defects in rational conformal field theory
• Uniqueness of open/closed rational CFT with given algebra of open states
• Gerbe-holonomy for surfaces with defect networks
• Electric-magnetic duality and the geometric Langlands program
• Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line
• TFT construction of RCFT correlators. II: Unoriented world sheets
• Branes: From free fields to general backgrounds
• Wall-crossing in coupled 2d-4d systems
• TFT construction of RCFT correlators. I: Partition functions
• The fusion algebra of bimodule categories
• Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
• Interacting quantum observables: categorical algebra and diagrammatics
• Generalised twisted partition functions