# A Vertex Model for Supersymmetric LLT Polynomials

@inproceedings{Gitlin2021AVM, title={A Vertex Model for Supersymmetric LLT Polynomials}, author={Andrew Gitlin and David Keating}, year={2021} }

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.

## One Citation

A Lattice Model for Super LLT Polynomials

- Mathematics
- 2021

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…

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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…

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