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, 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 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 n-Point Functions for Free Boson and Lattice Vertex Operator Algebras
Mason, Geoffrey; Tuite, Michael P. (2002)We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions. -
Torus n-Point Functions for $\mathbb{R}$-graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds
Mason, Geoffrey; Tuite, Michael P.; Zuevsky, Alexander (2007)We consider genus one n-point functions for a vertex operator superalgebra with a real grading. We compute all n-point 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 ...