English

Twisted representations of vertex operator superalgebras

Quantum Algebra 2007-05-23 v1 Representation Theory

Abstract

This paper gives an analogue of A_g(V) theory for a vertex operator superalgebra V and an automorphism g of finite order. The relation between the g-twisted V-modules and A_g(V)-modules is established. It is proved that if V is g-rational, then A_g(V) is finite dimensional semisimple associative algebra and there are only finitely many irreducible g-twisted V-modules.

Keywords

Cite

@article{arxiv.math/0411523,
  title  = {Twisted representations of vertex operator superalgebras},
  author = {Chongying Dong and Zhongping Zhao},
  journal= {arXiv preprint arXiv:math/0411523},
  year   = {2007}
}

Comments

23 pages

R2 v1 2026-07-22T17:12:42.255Z