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Zhu reduction for Jacobi n-point functions and applications
(2017-06-23)
We establish precise Zhu reduction formulas for Jacobi n-point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly ...
Vertex algebras according to Isaac Newton
(IOP Publishing, 2017-09-08)
We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton.
Genus two zhu theory for vertex operator algebras
(2016-10-27)
We consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus ...
Genus two virasoro correlation functions for vertex operator algebras
(2016-12-06)
We consider all genus two correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms ...
N=2 and N=4 subalgebras of super vertex operator algebras
(IOP Publishing, 2018-01-10)
We develop criteria to decide if an N=2 or N=4 super conformal algebra is a subalgebra of a super vertex operator algebra in general, and of a super lattice theory in particular. We give some specific examples.
Genus two partition and correlation functions for fermionic vertex operator superalgebras II
(2018-10-18)
We define and compute the continuous orbifold partition function and a generating function for all n-point correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface ...