# Boundary correlations for the six-vertex model with reflecting end boundary condition

## TL;DR

This paper analytically computes boundary correlation functions for the six-vertex model with reflecting end boundary conditions, using algebraic methods and determinant formulas to derive explicit expressions.

## Contribution

It introduces a method to derive boundary correlation functions for the six-vertex model with reflecting boundaries using Sklyanin's reflection algebra and Tsuchiya's determinant formula.

## Key findings

- Derived explicit formulas for boundary polarization.
- Computed emptiness formation probability.
- Established recursion relations for boundary correlations.

## Abstract

We consider the six-vertex model with reflecting end boundary condition. We compute analytically boundary correlation functions, such as the boundary polarization and the emptiness formation probability. In order to do that, we use the Sklyanin's reflection algebra to derive recursion relations for the partition function of the model as well as for the boundary correlations in terms of the partition function. Thanks to the Tsuchiya determinant formula, these recursion relations allow the boundary correlations to be also efficiently written in determinantal form.