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math.QA2026
Algebra objects in direct limit completions of compact Lie group duals and the classification of vertex operator algebras
Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti
Let be a complex reductive affine algebraic group with its symmetric tensor category of finite-dimensional rational representations. We prove that every simple…
math.QA2026
Vertex operator algebras, partition functions and Teichmüller modular forms
Sebastiano Carpi, Giulio Codogni
In the spirit of the geometric approach to two-dimensional conformal field theory, we explicitly associate to every holomorphic vertex operator algebra a section of a power of Hodg…