Year: 2026
Type: preprint
Abstract: We study the realization of the reverse braided category of the module category of a rational vertex operator algebra V. Using holomorphic extensions and commutant constructions, we prove that this realization property is preserved under suitable cosets, tensor products, extensions, and finite-group orbifolds. As applications, we establish the property for unitary Virasoro minimal models, affine vertex operator algebras of types ABCDE at positive integral levels, the corresponding principal W-algebras of type ADE, and related parafermion vertex operator algebras.
Source: arXiv (Cornell University)
Authors: Dong, Chongying, Li, Binghui, Ren, Li, Wang, Yilong
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G3218341711
OpenAlex ID: W7223098831