Chain models on Hecke algebra for corner type representations

TL;DR

This paper analyzes integrable open chain models based on Hecke algebra generators, deriving the spectrum of Hamiltonians for specific corner-type representations with free boundaries.

Contribution

It provides the spectrum of Hamiltonians for open Hecke chains in corner-type irreducible representations, a novel spectral analysis for these models.

Findings

Spectrum of Hamiltonians derived for corner-type representations

Spectral properties characterized for finite-size open chains

Results applicable to integrable models with free boundary conditions

Abstract

We consider the integrable open chain models formulated in terms of generators of the Hecke algebra. The spectrum of the Hamiltonians for the open Hecke chains of finite size with free boundary conditions is deduced for special (corner type) irreducible representations of the Hecke algebra.