Mathematics – Quantum Algebra
Scientific paper
2004-11-23
Mathematics
Quantum Algebra
31 pages
Scientific paper
10.1007/s00220-005-1418-2
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.
Dong Chongying
Zhao Zhongping
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