%0 Journal Article
%T Modularity in orbifold theory for vertex operator superalgebras
%A Chongying Dong
%A Zhongping Zhao
%J Mathematics
%D 2004
%I arXiv
%R 10.1007/s00220-005-1418-2
%X This paper is about the orbifold theory for vertex operator superalgebras. Given a vertex operator superalgebra V and a finite automorphism group G of V, we show that the trace functions associated to the twisted sectors are holomorphic in the upper half plane for any commuting pairs in G under the C_2-cofinite condition. We also establish that these functions afford a representation of the full modular group if V is C_2-cofinite and g-rational for any g in G.
%U http://arxiv.org/abs/math/0411524v1