Some open problems in mathematical two-dimensional conformal field theory
Yi-Zhi Huang

TL;DR
This paper discusses open problems in constructing and analyzing two-dimensional conformal field theories through the lens of vertex operator algebra representation theory.
Contribution
It identifies key unresolved issues in the mathematical formulation and understanding of 2D conformal field theories using vertex operator algebras.
Findings
Highlights specific open problems in the field.
Proposes directions for future research.
Emphasizes the importance of representation theory in CFT.
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
