• Corpus ID: 237507357

Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings

  title={Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings},
  author={Amol Aggarwal and Alexei Borodin and Leonid A. Petrov and Michael Wheeler},
Our work deals with symmetric rational functions and probabilistic models based on the fully inhomogeneous six vertex (ice type) model satisfying the free fermion condition. Two families of symmetric rational functions $F_\lambda,G_\lambda$ are defined as certain partition functions of the six vertex model, with variables corresponding to row rapidities, and the labeling signatures $\lambda=(\lambda_1\ge \ldots\ge \lambda_N)\in \mathbb{Z}^N$ encoding boundary conditions. These symmetric… 
2 Citations

A Lattice Model for Super LLT Polynomials

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

Ninth variation of classical group characters of type A-D and Littlewood identities

. We introduce certain generalisations of the characters of the classical Lie groups, extending the recently defined factorial characters of Foley and King. This is done by replacing the factorial