Unitarity of the modular tensor categories associated to unitary vertex operator algebras, II

Abstract

This is the second half of a two-part series studying tensor categories of unitary vertex operator algebras from a unitary point of view.

62 pages. A new theorem added (Thm 7.9) which explicitly points out that the positivity of Λimplies the unitarity of the modular tensor category. Final version to appear in Commun. Math. Phys

References in corpus (2)

• Unitarity of the modular tensor categories associated to unitary vertex operator algebras, I
• Energy bounds condition for intertwining operators of type $B$, $C$, and $G_2$ unitary affine vertex operator algebras

Cited by in corpus (8)

• Haploid algebras in $C^{\ast }$-tensor categories and the Schellekens list
• Q-systems and extensions of completely unitary vertex operator algebras
• Fusion and positivity in chiral conformal field theory
• Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models
• From vertex operator superalgebras to graded-local conformal nets and back
• The boundary phase transitions of the 2+1D ${\mathbb{Z}}_N$ topological order via topological Wick rotation
• 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