Q-systems and extensions of completely unitary vertex operator algebras

Abstract

We relate extensions of completely unitary VOAs and (commutative) Q-systems. As an application, we show that any unitary extension of a completely unitary VOA is completely unitary.

53 pages, to appear in Int. Math. Res. Not. IMRN

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Cited by in corpus (8)

• Fusion and positivity in chiral conformal field theory
• Wightman fields for two-dimensional conformal field theories with pointed representation category
• From vertex operator superalgebras to graded-local conformal nets and back
• Geometric Positivity of the Fusion Products of Unitary Vertex Operator Algebra Modules
• Unitarity and strong graded locality of holomorphic vertex operator superalgebras with central charge at most 24
• Conformal nets from minimal W-algebras
• Separable algebras in multitensor C${}^{\ast }$-categories are unitarizable
• On a Connes Fusion Approach to Finite Index Extensions of Conformal Nets