A Lattice Model for Super LLT Polynomials
Combinatorics
2022-01-04 v2
Abstract
We introduce a solvable lattice model for supersymmetric LLT polynomials, also known as super LLT polynomials, based upon particle interactions in super n-ribbon tableaux. Using operators on a Fock space, we prove a Cauchy identity for super LLT polynomials, simultaneously generalizing the Cauchy and dual Cauchy identities for LLT polynomials. Lastly, we construct a solvable semi-infinite Cauchy lattice model with a surprising Yang-Baxter equation and examine its connections to the Cauchy identity.
Cite
@article{arxiv.2110.07597,
title = {A Lattice Model for Super LLT Polynomials},
author = {Michael J. Curran and Claire Frechette and Calvin Yost-Wolff and Sylvester W. Zhang and Valerie Zhang},
journal= {arXiv preprint arXiv:2110.07597},
year = {2022}
}
Comments
36 pages