Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions

Abstract

We study Slavnov's inner products for open Temperley-Lieb chains and their relations with the KP hierarchy. We show that when s = 1/2 the quantum group invariant XXZ spin chain has Slavnov products given by the quotient of tau functions. The Schur polynomials expansion and a matrix construction for the Baker-Akhiezer functions are also briefly considered.