Browsing School of Mathematics, Statistics and Applied Mathematics by Author "Mason, Geoffrey"
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Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I
Mason, Geoffrey; Tuite, Michael P. (2009)We define the partition and $n$point functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We obtain closed formulas for the genus two partition function for the ... 
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II
Mason, Geoffrey; Tuite, Michael P. (2011)We continue our program to define and study $n$point correlation functions for a vertex operator algebra $V$ on a higher genus compact Riemann surface obtained by sewing surfaces of lower genus. Here we consider Riemann ... 
The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras
Mason, Geoffrey; Tuite, Michael P. (2007)We define the $n$point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain ... 
N=2 and N=4 subalgebras of super vertex operator algebras
Tuite, Michael P.; Mason, Geoffrey; Yamskulna, Gaywalee (IOP Publishing, 20180110)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 Genus Two Riemann Surfaces Formed from Sewn Tori
Mason, Geoffrey; Tuite, Michael P. (2006)We describe the period matrix and other data on a higher genus Riemann surface in terms of data coming from lower genus surfaces via an explicit sewing procedure. We consider in detail the construction of a genus two Riemann ... 
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 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 ...