13 citations · 21 across the 7 of their papers we have counts for
11 papers
The modular properties of torus -point functions
Matthew Krauel, Jamal Noel Shafiq, Simon Wood
Conformal field theory and its axiomatisation in terms of vertex operator algebras or chiral algebras are most commonly considered on the Riemann sphere. However, an important cons…
Decompositions of index one Jacobi forms into characters and formulas for mock modular forms
Matthew Krauel, Geoffrey Mason, Michael Tuite +1
It is shown that every weak Jacobi form of weight zero and index one on a congruence subgroup of the full Jacobi group can be decomposed into superconformal characters. Addit…
Zhu reduction for Jacobi -point functions and applications
Kathrin Bringmann, Matthew Krauel, Michael P. Tuite
We establish precise Zhu reduction formulas for Jacobi -point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce r…
Length spectra of sub-Riemannian metrics on compact Lie groups
András Domokos, Matthew Krauel, Vincent Pigno +2
Length spectra for Riemannian metrics are well studied, while sub-Riemannian length spectra have been largely unexplored. Here we give the length spectrum for a canonical sub-Riema…
Intertwining operators and vector-valued modular forms for minimal models
Matthew Krauel, Christopher Marks
Using the language of vertex operator algebras (VOAs) and vector-valued modular forms we study the modular group representations and spaces of 1-point functions associated to inter…
One-point theta functions for vertex operator algebras
Matthew Krauel
One-point theta functions for modules of vertex operator algebras (VOAs) are defined and studied. These functions are a generalization of the character theta functions studied by M…
On a relation between certain -hypergeometric series and Maass waveforms
Matthew Krauel, Larry Rolen, Michael Woodbury
In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of -series related to the -hypergeometric series from Ramanajun's lost notebook. Our results…
A modular invariance property of multivariable trace functions for regular vertex operator algebras
Matthew Krauel, Masahiko Miyamoto
We prove an -invariance property of multivariable trace functions on modules for a regular VOA. Applying this result, we provide a proof of the inversion…
Jacobi trace functions in the theory of vertex operator algebras
Matthew Krauel, Geoffrey Mason
We describe a type of n-point function associated to strongly regular vertex operator algebras V and their irreducible modules. Transformation laws with respect to the Jacobi group…
A Jacobi theta series and its transformation laws
Matthew Krauel
We consider a generalization of Jacobi theta series and show that every such function is a quasi-Jacobi form. Under certain conditions we establish transformation laws for these fu…
Vertex operator algebras and weak Jacobi forms
Matthew Krauel, Geoffrey Mason
Let be a strongly regular vertex operator algebra. For a state satisfying appropriate integrality conditions, we prove that the space spanned by the trace functions…