Browsing Mathematics by Author "Tuite, Michael P."
Now showing items 2129 of 29

Some Irrational Generalised Moonshine from Orbifolds
Ivanov, Rossen I.; Tuite, Michael P. (2002)We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the HaradaNorton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ... 
The Szegö Kernel on a Sewn Riemann Surface
Tuite, Michael P.; Zuevsky, Alexander (2010)We describe the Szegö kernel on a higher genus Riemann surface in terms of Szegö kernel data coming from lower genus surfaces via two explicit sewing procedures where either two Riemann surfaces are sewn together or a ... 
Torus Chiral nPoint Functions for Free Boson and Lattice Vertex Operator Algebras
Mason, Geoffrey; Tuite, Michael P. (2002)We obtain explicit expressions for all genus one chiral npoint functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions. 
Torus nPoint Functions for $\mathbb{R}$graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds
Mason, Geoffrey; Tuite, Michael P.; Zuevsky, Alexander (2007)We consider genus one npoint functions for a vertex operator superalgebra with a real grading. We compute all npoint functions for rank one and rank two fermion vertex operator superalgebras. In the rank two fermion case, ... 
Vertex algebras according to Isaac Newton
Tuite, Michael P. (IOP Publishing, 20170908)We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton. 
Vertex Operators and Modular Forms
Mason, Geoffrey; Tuite, Michael P. (2009)The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite ... 
The Virasoro Algebra and Some Exceptional Lie and Finite Groups
Tuite, Michael P. (2006)We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series ... 
Virasoro Correlation Functions for Vertex Operator Algebras
Hurley, Donny; Tuite, Michael P. (2011)We consider all genus zero and genus one 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 ... 
Zhu reduction for Jacobi npoint functions and applications
Tuite, Michael P.; Krauel, Matthew; Bringmann, Kathrin (20170623)We establish precise Zhu reduction formulas for Jacobi npoint 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 ...