Boundary state of $U_q(\hat{gl}(N|N))$ analog of half-infinite $t-J$ model

TL;DR

This paper constructs an explicit bosonic formula for the boundary state of a quantum superalgebra-based half-infinite t-J model, advancing understanding of boundary effects in integrable models.

Contribution

It provides the first explicit bosonic formula for the boundary state in the $U_q( ext{gl}(N|N))$-analog of the half-infinite t-J model using the vertex operator approach.

Findings

Explicit bosonic formula for the boundary state derived

Boundary state expressed in integrable highest-weight modules

Advances understanding of boundary effects in quantum superalgebra models

Abstract

The $U_q(\hat{gl}(N|N))$-analog of the half-infinite $t-J$ model with a boundary is considered by using the vertex operator approach. We find explicit bosonic formula of the boundary state in the integrable highest-weight module over the quantum superalgebra $U_q(\hat{gl}(N|N))$.