Some open problems in mathematical two-dimensional conformal field theory

2016/06/14 by Yi-Zhi Huang, Huang, Yi-Zhi
Mathematics · Physics and Astronomy · #17B69 #81T40 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1606.04493

openalex publication_date 2016/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss some open problems in a program of constructing and studying two-dimensional conformal field theories using the representation theory of vertex operator algebras.

Related

• 2D conformal field theory and vertex operator algebras
• Representation theory of vertex operator algebras and orbifold conformal field theory
• Vertex operator algebras and operads
• Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory
• Extended vertex operator algebras and monomial bases