A. P. Kels

activity

20132024

most citedNew solutions of the star-triangle relation with discrete and continuous spin variables

38 citations · 265 across the 20 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math-ph2017★ 11 cited

Lens elliptic gamma function solution of the Yang-Baxter equation at roots of unity

Andrew P. Kels, Masahito Yamazaki

We study the root of unity limit of the lens elliptic gamma function solution of the star-triangle relation, for an integrable model with continuous and discrete spin variables. Th…

math-ph2017★ 6 cited

Exactly solved models on planar graphs with vertices in $Z^{3}$

Andrew P. Kels

It is shown how exactly solved edge interaction models on the square lattice, may be extended onto more general planar graphs, with edges connecting a subset of next nearest neighb…

math-ph2017★ 27 cited

Elliptic hypergeometric sum/integral transformations and supersymmetric lens index

Andrew P. Kels, Masahito Yamazaki

We prove a pair of transformation formulas for multivariate elliptic hypergeometric sum/integrals associated to the $A_{n}$ and $B C_{n}$ root systems, generalising the formulas previou…

Lens elliptic gamma function solution of the Yang-Baxter equation at roots of unity

Exactly solved models on planar graphs with vertices in Z3

Elliptic hypergeometric sum/integral transformations and supersymmetric lens index

Exactly solved models on planar graphs with vertices in $Z^{3}$