Staggered Polarization of Vertex Models with $U_q(\widehat{sl}(n))$-Symmetry

TL;DR

This paper provides explicit formulas for level 1 vertex operators with $U_q(\\widehat{sl}(n))$-symmetry, deriving their relations and applying them to compute one-point functions in related spin chains, extending previous $XXZ$-model results.

Contribution

It introduces explicit formulas and commutation relations for vertex operators in $U_q(\widehat{sl}(n))$, enabling new calculations of physical properties in associated spin chains.

Findings

Derived explicit formulas for vertex operators.

Calculated one-point functions in $U_q(\widehat{sl}(n))$ spin chains.

Extended understanding of staggered polarization in related models.

Abstract

In this paper we give an explicit formula for level 1 vertex operators related to $U_q(\widehat{sl}(n))$ as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of $U_q(\widehat{sl}(n))$, thereby extending the recent work on the staggered polarization of the $XXZ$-model.