1302.6495 (A. P. Isaev et al.)

Bethe subalgebras in Hecke algebra and Gaudin models    [PDF]

A. P. Isaev, Anatol N. Kirillov

The generating function for elements of the Bethe subalgebra of Hecke algebra is constructed as Sklyanin's transfer-matrix operator for Hecke chain. We show that in a special classical limit q -> 1 the Hamiltonians of the Gaudin model can be derived from the transfer-matrix operator of Hecke chain. We consruct a non-local analogue of the Gaudin Hamiltonians for the case of Hecke algebras.

View original: http://arxiv.org/abs/1302.6495