A vertex model for supersymmetric LLT polynomials

  • Andrew Gitlin

    University of California, Berkeley, USA
  • David Keating

    University of Wisconsin-Madison, USA
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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 (2021). 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 this article

Andrew Gitlin, David Keating, A vertex model for supersymmetric LLT polynomials. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 11 (2024), no. 3, pp. 571–640

DOI 10.4171/AIHPD/171