Publication

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
2007
Type
Article
Downloads
Citation
Geoffrey Mason, Michael P. Tuite and Alexander Zuevsky(2007)Torus n-Point Functions for $\mathbb{R}$-graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds, Geoffrey Mason, Michael P. Tuite and Alexander Zuevsky
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
Publisher DOI
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland