32 citations · 166 across the 19 of their papers we have counts for
19 papers
Mixed symmetries of S_n: immanants in the sampling of U(d) submatrices
Jacob Daigle, Hubert de Guise, Trevor Welsh
We provide results on the mean and higher moments of immanants of submatrices of ensembles of Haar-distributed unitary matrices, mostly without proofs. This paper is based on a tal…
WZW conformal blocks from instanton partition functions on
Omar Foda, Nicholas Macleod, Masahide Manabe +1
Generalizations of the AGT correspondence between 4D supersymmetric gauge theory on with -deformation and 2D Liouville conformal field…
The Rogers-Ramanujan identities revisited
Sylvie Corteel, Trevor Welsh
In this note we show how to rederive the Rogers-Ramanujan identities proven by Andrews, Schilling and Warnaar using cylindric partitions. This paper is dedicated to George An…
A quartet of fermionic expressions for Virasoro characters via half-lattice paths
Olivier Blondeau-Fournier, Pierre Mathieu, Trevor A Welsh
We derive new fermionic expressions for the characters of the Virasoro minimal models by analysing the recently introduced half-lattice paths. These fermionic express…
Cylindric partitions, W_r characters and the Andrews-Gordon-Bressoud identities
O. Foda, T. A. Welsh
We study the Andrews-Gordon-Bressoud (AGB) generalisations of the Rogers-Ramanujan q-series identities in the context of cylindric partitions. We recall the definition of r-cylindr…
Half-lattice paths and Virasoro characters
Olivier B. -Fournier, Pierre Mathieu, Trevor A. Welsh
We first briefly review the role of lattice paths in the derivation of fermionic expressions for the M(p,p') minimal model characters of the Virasoro Lie algebra. We then focus on…