Mathematics – Quantum Algebra
Scientific paper
2007-08-04
Mathematics
Quantum Algebra
50 pages
Scientific paper
10.1007/s00220-008-0510-9
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.
Mason Geoffrey
Tuite Michael P.
Zuevsky Alexander
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