Separation of variables for symplectic characters

Abstract

We perform separation of variables for the symplectic Weyl character using Sklyanin's scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitly construct the separating operator using the Q-operator method. We also construct the inverse of the separating operator, as well as the factorised Hamiltonian.

21 pages

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Cited by in corpus (4)

• Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory
• Finite-size left-passage probability in percolation
• A new approach to the characteristic polynomial of a random unitary matrix
• Finite size lattice results for the two-boundary Temperley--Lieb loop model