Peer-Reviewed Journal Details
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Authors
Mason, G,Tuite, MP,Zuevsky, A
Year
2008
Month
October
Journal
Communications In Mathematical Physics
Title
Torus n-point functions for R-graded vertex operator superalgebras and continuous fermion orbifolds
Status
Published
Times Cited
()
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MODULAR-INVARIANCE ALGEBRAS
Volume
283
Issue
Start Page
305
End Page
342
Abstract
We consider genus one n-point functions for a vertex operator superalgebra with a real grading. We compute all n-point functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, we obtain all orbifold n-point functions for a twisted module associated with a continuous automorphism generated by a Heisenberg bosonic state. The modular properties of these orbifold n-point functions are given and we describe a generalization of Fay's trisecant identity for elliptic functions.
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DOI Link
DOI 10.1007/s00220-008-0510-9
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