Matrix elements of vertex operators and fermionic limit of spin Calogero-Sutherland system

Abstract

We present a construction of an integrable model as a projective type limit of spin Calogero-Sutherland model with N fermionic particles, where N tends to infinity. It is implemented in the multicomponent fermionic Fock space. Explicit formulas for limits of Dunkl operators and the Yangian generators are presented by means of fermionic fields.

Fermionic limit of the Calogero-Sutherland system

“…A different approach to the construction of the limiting systen is presented in [9] in a more general context of the spin CS model.…”