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Now showing items 11-20 of 29
Some Generalizations of the MacMahon Master Theorem
(2011)
We consider a number of generalizations of the $\beta$-extended MacMahon Master Theorem for a matrix. The generalizations are based on replacing permutations on multisets formed from matrix indices by partial permutations ...
Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I
(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 ...
Partition functions and chiral algebras.
(American Mathematical Society, 2007-05)
We discuss recent work of the authors concerning correlation functions and partition functions for free bosons/fermions and the b-c or ghost system. We compare and contrast the nature of the 1-point functions at genus 1, ...
Genus two partition and correlation functions for fermionic vertex operator superalgebras II
(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 ...
Generalised Moonshine and Abelian Orbifold Constructions
(1994)
We consider the application of Abelian orbifold constructions in Meromorphic Conformal Field Theory (MCFT) towards an understanding of various aspects of Monstrous Moonshine and Generalised Moonshine. We review some of the ...
The Szegö Kernel on a Sewn Riemann Surface
(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 ...
Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module
(2001)
We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order $p=2,3,5,7$ and the other of order $pk$ for $k=1$ or $k$ ...
Genus Two Meromorphic Conformal Field Theory
(1999)
We construct the genus two (or two loop) partition function for meromorphic bosonic conformal field theories. We use a sewing procedure involving two genus one tori by exploiting an explicit relationship between the genus ...
On Genus Two Riemann Surfaces Formed from Sewn Tori
(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 ...
Some Irrational Generalised Moonshine from Orbifolds
(2002)
We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ...