English

Sub-structure in module category of Virasoro vertex operator algebras $L(c_{p,q}, 0)$

Quantum Algebra 2026-01-01 v1

Abstract

We determine all premodular subcategories and modular tensor subcategories in the module categories of Virasoro vertex operator algebras L(cp,q,0)L(c_{p,q},0) and the module categories of the simple current extensions of L(cp,p+1,0)L(c_{p,p+1},0).

Keywords

Cite

@article{arxiv.2512.23980,
  title  = {Sub-structure in module category of Virasoro vertex operator algebras $L(c_{p,q}, 0)$},
  author = {Qirui Fang and Yu Teng and Yukun Xiao and Wen Zheng},
  journal= {arXiv preprint arXiv:2512.23980},
  year   = {2026}
}