50 citations · 259 across the 25 of their papers we have counts for
35 papers
Generating Functions for Casimir Invariants of Simple Lie Algebras
Michael Flattery, Michael P. Tuite
We consider generalised Casimir operators associated with irreducible representations for finite-dimensional, semisimple, complex Lie algebras. Using Klimyk's formula and Okubo's f…
Genus Virasoro Correlation Functions for Vertex Operator Algebras
Michael P. Tuite, Michael Welby
For a simple, self-dual, strong CFT-type vertex operator algebra (VOA) of central charge , we describe the Virasoro -point correlation function on a genus marked Riemann…
Inertial Transformations and the Nonexistence of Tachyons for Spacetime Dimension Greater than Two
David Acton, Owen Doyle, Michael P. Tuite
We consider real linear transformations between two inertial frames with constant relative speed in a -dimensional spacetime where light moves with constant speed (for…
Genus Zhu Recursion for Vertex Operator Algebras and Their Modules
Michael P. Tuite, Michael Welby
We describe Zhu recursion for a vertex operator algebra (VOA) and its modules on a genus Riemann surface in the Schottky uniformisation. We show that -point (intertwiner) co…
Some Properties and Applications of Bers Quasiforms on Riemann Surfaces
Michael P. Tuite, Michael Welby
We describe some properties of the Bers quasiform on a compact Riemann surface in the Schottky sewing scheme. Our main results are: (i) the expansion of meromorphic differential fo…
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…