English

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

Mathematical Physics 2021-09-29 v2 Statistical Mechanics High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.2107.13060,
  title  = {Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions},
  author = {Thiago Araujo},
  journal= {arXiv preprint arXiv:2107.13060},
  year   = {2021}
}

Comments

18 pages; v2: published version