Bicategories in field theories - an invitation

2011/11/29 by Thomas Nikolaus, Christoph Schweigert, Nikolaus, Thomas +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1111.6896

openalex publication_date 2011/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain some applications of bicategories in both classical and quantum field theory. This includes a modern perspective on some pioneering work of Max Kreuzer and Bert Schellekens on rational conformal field theory.

Citations

• The Geometry of Bundle Gerbes
• Equivariant Modular Categories via Dijkgraaf-Witten Theory

Related

• On 'categories' of quantum field theories
• Categories and the Foundations of Classical Field Theories
• Categorification and correlation functions in conformal field theory
• Conformal Field Theory and Operator Algebras
• Elements of a theory of algebraic theories