Chongying Dong, Zhongping Zhao
Twisted Representations of Vertex Operator Superalgebras
Preprint series: ESI preprints

MSC:

17B99 None of the above but in this section

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.