Now showing items 1-6 of 6

  • Genus two partition and correlation functions for fermionic vertex operator superalgebras II 

    Tuite, Michael P.; Zuevsky, Alexander (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 

    Tuite, Michael P.; Gilroy, Thomas (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 

    Tuite, Michael P.; Gilroy, Thomas (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 

    Tuite, Michael P.; Mason, Geoffrey; Yamskulna, Gaywalee (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.
  • Vertex algebras according to Isaac Newton 

    Tuite, Michael P. (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 

    Tuite, Michael P.; Krauel, Matthew; Bringmann, Kathrin (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 ...