34 citations · 312 across the 53 of their papers we have counts for
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Q-operators for the Ruijsenaars model
Eric Rains, Hjalmar Rosengren
We prove that the Ruijsenaars model admits a one-parameter commuting family of Q-operators. The commutativity is equivalent to an elliptic hypergeometric integral transformation th…
Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI
Christian Hagendorf, Hjalmar Rosengren
We study nearest-neighbour correlation functions for the ground state of the supersymmetric XYZ spin chain with odd length and periodic boundary conditions. Under a technical assum…
Heisenberg models and Schur--Weyl duality
Jakob Björnberg, Hjalmar Rosengren, Kieran Ryan
We present a detailed analysis of certain quantum spin systems with inhomogeneous (non-random) mean-field interactions. Examples include, but are not limited to, the interchange- a…
Higher order deformed elliptic Ruijsenaars operators
Martin Hallnäs, Edwin Langmann, Masatoshi Noumi +1
We present four infinite families of mutually commuting difference operators which include the deformed elliptic Ruijsenaars operators. The trigonometric limit of this kind of oper…
Elliptic pfaffians and solvable lattice models
Hjalmar Rosengren
We introduce and study twelve multivariable theta functions defined by pfaffians with elliptic function entries. We show that, when the crossing parameter is a cubic root of unity,…
Special polynomials related to the supersymmetric eight-vertex model: A summary
Hjalmar Rosengren
We introduce and study symmetric polynomials, which as very special cases include polynomials related to the supersymmetric eight-vertex model, and other elliptic lattice models wi…