Trevor Welsh

The A2 Rogers–Ramanujan Identities Revisited

S Corteel, T Welsh

Book Chapter  |  2021  |  Trends in Mathematics

In this note, we show how to use cylindric partitions to rederive the four A2 Rogers–Ramanujan identities originally proven by And..

sl(n)NWZW conformal blocks from SU (N )instanton partition functions on C2/Zn

Omar Foda, Nicholas Macleod, Masahide Manabe, Trevor Welsh

Journal article  |  2020  |  NUCLEAR PHYSICS B

Generalizations of the AGT correspondence between 4D N=2 SU(2) supersymmetric gauge theory on C2 with Ω-deformation and 2D Liouvil..

The A(2) Rogers-Ramanujan Identities Revisited

Sylvie Corteel, Trevor Welsh

Journal article  |  2019  |  ANNALS OF COMBINATORICS

In this note, we show how to use cylindric partitions to rederive the four A2 Rogers–Ramanujan identities originally proven by And..

A quartet of fermionic expressions for M(k,2k ± 1) Virasoro characters via half-lattice paths

O Blondeau-Fournier, P Mathieu, TA Welsh

Journal article  |  2017  |  Nuclear Physics B

We derive new fermionic expressions for the characters of the Virasoro minimal models M(k,2k±1) by analysing the recently introduc..

Cylindric partitions, W-r characters and the Andrews-Gordon-Bressoud identities

O Foda, TA Welsh

Journal article  |  2016  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

We study the Andrews-Gordon-Bressoud (AGB) generalisations of the Rogers-Ramanujan q-series identities in the context of cylindric..

A computer code for calculations in the algebraic collective model of the atomic nucleus

TA Welsh, DJ Rowe

Journal article  |  2016  |  Computer Physics Communications

A Maple code is presented for algebraic collective model (ACM) calculations. The ACM is an algebraic version of the Bohr model of ..

Half-lattice paths and virasoro characters

O Blondeau-Fournier, P Mathieu, TA Welsh

Journal article  |  2012  |  Fundamenta Informaticae

We first briefly review the role of lattice paths in the derivation of fermionic expressions for the M(p, p′) minimal model charac..

A bijection between paths for the M(p, 2p 1) minimal model virasoro characters

O Blondeau-Fournier, P Mathieu, TA Welsh

Journal article  |  2010  |  Annales Henri Poincare

The states in the irreducible modules of the minimal models can be represented by infinite lattice paths arising from consideratio..

Construction of SO (5) ⊃ SO (3) spherical harmonics and Clebsch-Gordan coefficients

MA Caprio, DJ Rowe, TA Welsh

Journal article  |  2009  |  Computer Physics Communications

The SO (5) ⊃ SO (3) spherical harmonics form a natural basis for expansion of nuclear collective model angular wave functions. The..

Bohr model as an algebraic collective model

DJ Rowe, TA Welsh, MA Caprio

Journal article  |  2009  |  Physical Review C - Nuclear Physics

Developments and applications are presented of an algebraic version of Bohr's collective model. Illustrative examples show that fu..