13 citations · 21 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…
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…