Browsing Mathematics (Scholarly Articles) by Subject "High Energy Physics  Theory"
Now showing items 115 of 15

Exceptional Vertex Operator Algebras and the Virasoro Algebra
(2008)We consider exceptional vertex operator algebras for which particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendants of the vacuum. We discuss constraints on these ... 
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I
(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 ... 
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 ... 
A Generalized Vertex Operator Algebra for Heisenberg Intertwiners
(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 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 ... 
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 ... 
The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras
(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 ... 
Monstrous and Generalized Moonshine and Permutation Orbifolds
(2008)We consider the application of permutation orbifold constructions towards a new possible understanding of the genus zero property in Monstrous and Generalized Moonshine. We describe a theory of twisted Hecke operators in ... 
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 ... 
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 $k$ ... 
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 HaradaNorton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ... 
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 ... 
Torus Chiral nPoint Functions for Free Boson and Lattice Vertex Operator Algebras
(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
(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, ... 
The Virasoro Algebra and Some Exceptional Lie and Finite Groups
(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 ...