A Vertex Model for Supersymmetric LLT Polynomials
Abstract
We describe a YangBaxter integrable vertex model, which can be realized as a degeneration of a vertex model introduced by Aggarwal, Borodin, and Wheeler. From this vertex model, we construct a certain class of partition functions that we show are essentially equal to the super ribbon functions of Lam. Using the vertex model formalism, we give proofs of many properties of these polynomials, namely a Cauchy identity and generalizations of known identities for supersymmetric Schur polynomials.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.10273
 Bibcode:
 2021arXiv211010273G
 Keywords:

 Mathematics  Combinatorics;
 Mathematical Physics