Browsing College of Science by Subject "Vertex algebras"
Now showing items 1-7 of 7
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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 ... -
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 ... -
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 ... -
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. -
On exceptional vertex operator (Super) algebras
(Springer, 2014-10-01)We consider exceptional vertex operator algebras and vertex operator superalgebras with the property that particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendents ... -
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. -
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 ...