A bstract We study the Nekrasov partition function of the five dimensional U (N) gauge theory
with maximal supersymmetry on ℝ 4× S 1 in the presence of codimension two defects. The …

We construct the Baxter operator Q (λ) for the q-Toda chain and the Toda2 chain (the Toda
chain in the second Hamiltonian structure). Our construction builds on the relation between …

We introduce Baxter Q-operators for the quantum Ruijsenaars hyperbolic system. We prove
that they represent a commuting family of integral operators and also commute with …

Wave Function for GL(n,ℝ) Hyperbolic Sutherland Model II. Dual Hamiltonians | International
Mathematics Research Notices | Oxford Academic Skip to Main Content Advertisement Oxford …

We show that normalized quantum K-theoretic vertex functions for cotangent bundles of
partial flag varieties are the eigenfunctions of quantum trigonometric Ruijsenaars-Schneider …

A special case of the geometric Langlands correspondence is given by the relationship
between solutions of the Bethe ansatz equations for the Gaudin model and opers …

This review article discusses recent progress in understanding of various families of
integrable models in terms of algebraic geometry, representation theory, and physics. In …

We present and develop a recursion scheme to construct joint eigenfunctions for the
commuting analytic difference operators associated with the integrable N-particle systems of …

Abstract The elliptic Calogero–Sutherland model is a quantum many body system of
identical particles moving on a circle and interacting via two body potentials proportional to …

We obtain symmetric joint eigenfunctions for the commuting partial differential operators
associated to the hyperbolic Calogero-Moser-particle system. The eigenfunctions are …