Dual overlaps and finite coupling 't Hooft loops

TL;DR

This paper explores dual overlaps in integrable models with specific symmetries, applying the results to compute expectation values of local operators in N=4 SYM with a 't Hooft line, revealing unique boundary state features.

Contribution

It provides a dualization of overlap formulas for different embeddings in integrable models and applies these to boundary expectation values in N=4 SYM with 't Hooft lines.

Findings

Dual overlap formulas for different embeddings derived.

Asymptotic expectation values of local operators computed.

Unique boundary state features with non-vanishing overlaps only for descendant states.

Abstract

Integrable $su(2\vert2)_{c}$ symmetric models have integrable boundaries with $osp(2\vert2)$ symmetries, which can be embedded into $su(2\vert2)_{c}$ in two different ways. We dualize the previously obtained asymptotic overlap formulas for one of the embeddings to describe the other embedding and apply the results to describe the asymptotic expectation values of local operators in the presence of a 't Hooft line in N=4 SYM. A peculiar feature of the setting is that in certain gradings only descendant states have non-vanishing overlaps with the boundary state and the overlap formula is not factorized for the Bethe roots.