Bulk and boundary $g_2$ factorized S-matrices

TL;DR

This paper analyzes the $g_2$-invariant bulk and boundary factorized S-matrices, constraining their ambiguities and demonstrating symmetry consistency, advancing understanding of integrable models with $g_2$ symmetry.

Contribution

It constructs and constrains the boundary $S$-matrix for the $g_2$-invariant model, extending previous bulk results and confirming symmetry properties.

Findings

Successful bootstrap constrains CDD ambiguity

Boundary S-matrix consistent with $Y(g_2,a_1\times a_1)$ symmetry

Advances integrable models with $g_2$ symmetry

Abstract

We investigate the $g_2$-invariant bulk (1+1D, factorized) $S$-matrix constructed by Ogievetsky, using the bootstrap on the three-point coupling of the vector multiplet to constrain its CDD ambiguity. We then construct the corresponding boundary $S$-matrix, demonstrating it to be consistent with $Y(g_2,a_1\times a_1)$ symmetry.