$C_n$-cofinite twisted modules for $C_2$-cofinite vertex operator algebras

Daniel Tan

$C_n$-cofinite twisted modules for $C_2$-cofinite vertex operator algebras

Quantum Algebra 2025-10-31 v1 Representation Theory

Authors: Daniel Tan

Abstract

Given a vertex operator algebra $V$ with a general automorphism $g$ of $V$ , we introduce a notion of $C_n$ -cofiniteness for weak $g$ -twisted $V$ -modules. When $V$ is $C_2$ -cofinite and of CFT type, we show that all finitely-generated weak $g$ -twisted $V$ -modules are $C_n$ -cofinite for all $n \in \mathbb{Z}_{>0}$ .

Keywords

vertex operator algebras module theory c*-algebras

Cite

@article{arxiv.2510.26657,
  title  = {$C_n$-cofinite twisted modules for $C_2$-cofinite vertex operator algebras},
  author = {Daniel Tan},
  journal= {arXiv preprint arXiv:2510.26657},
  year   = {2025}
}

Comments

21 pages

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