Now showing items 1-7 of 7

    • 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.
    • On exceptional vertex operator (Super) algebras 

      Tuite, Michael P.; Van, Hoang Dinh (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 

      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 ...