Browsing School of Mathematics, Statistics and Applied Mathematics by Author "Zuevsky, Alexander"
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The bosonic vertex operator algebra on a genus g Riemann surface
Tuite, Michael P.; Zuevsky, Alexander (201108)We discuss the partition function for the Heisenberg vertex operator algebra on a genus g Riemann surface formed by sewing handles to a Riemann sphere. In particular, it is shown how the partition can be computed by means ... 
A Generalized Vertex Operator Algebra for Heisenberg Intertwiners
Tuite, Michael P.; Zuevsky, Alexander (2011)We consider the extension of the Heisenberg vertex operator algebra by all its irreducible modules. We give an elementary construction for the intertwining vertex operators and show that they satisfy a complex parametrized ... 
Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I
Tuite, Michael P.; Zuevsky, Alexander (2010)We define the partition and $n$point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator superalgebra we obtain ... 
Genus two partition and correlation functions for fermionic vertex operator superalgebras II
Tuite, Michael P.; Zuevsky, Alexander (20181018)We define and compute the continuous orbifold partition function and a generating function for all npoint correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface ... 
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 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, ...