A Vertex Model for Supersymmetric LLT Polynomials
Combinatorics
2021-10-22 v1 Mathematical Physics
math.MP
Abstract
We describe a Yang-Baxter 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.
Cite
@article{arxiv.2110.10273,
title = {A Vertex Model for Supersymmetric LLT Polynomials},
author = {Andrew Gitlin and David Keating},
journal= {arXiv preprint arXiv:2110.10273},
year = {2021}
}