Unitary vertex operator algebras
Chongying Dong, Xingjun Lin
TL;DR
This paper introduces the concept of unitary vertex operator algebras, proves many known rational VOAs are unitary, and discusses their classification for central charge c ≤ 1.
Contribution
It provides a foundational study of unitarity in vertex operator algebras and classifies those with small central charge.
Findings
Most well-known rational VOAs are unitary.
Classification of unitary VOAs with c ≤ 1.
Establishment of unitarity as a key property in VOA theory.
Abstract
Unitary vertex operator algebras are introduced and studied. It is proved that most well-known rational vertex operator algebras are unitary. The classification of unitary vertex operator algebras with central charge c less than or equal to 1 is also discussed.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons