# Lattice Models, Hamiltonian Operators, and Symmetric Functions

@inproceedings{Hardt2021LatticeMH, title={Lattice Models, Hamiltonian Operators, and Symmetric Functions}, author={Andy Hardt}, year={2021} }

We give general conditions for the existence of a Hamiltonian operator whose discrete time evolution matches the partition function of certain solvable lattice models. In particular, we examine two classes of lattice models: the classical six-vertex model and a generalized family of (2n+ 4)-vertex models for each positive integer n. These models depend on a statistic called charge, and are associated to the quantum group Uq(ĝl(1|n)) [7]. Our results show a close and unexpected connection…

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