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Torus n-point functions for $${\mathbb{r}}$$ -graded vertex operator superalgebras and continuous fermion orbifolds

Mason, Geoffrey
Tuite, Michael P.
Zuevsky, Alexander
Repository DOI
Publication Date
2008-05-29
Type
Article
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Citation
Mason, Geoffrey; Tuite, Michael P. Zuevsky, Alexander (2008). Torus n-point functions for $${\mathbb{r}}$$ -graded vertex operator superalgebras and continuous fermion orbifolds. Communications in Mathematical Physics 283 (2), 305-342
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.
Funder
Publisher
Springer Nature
Publisher DOI
10.1007/s00220-008-0510-9
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Attribution-NonCommercial-NoDerivs 3.0 Ireland