On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix

TL;DR

This paper analyzes the analytic structure of the magnon S matrix in string theory on AdS_3 x S^3 x T^4 with R-R flux, confirming the expected double-pole/zero features and validating the proposed dressing factors.

Contribution

It provides a detailed verification of the dressing factors' pole structure, supporting their consistency in the integrable model of AdS_3/CFT_2 correspondence.

Findings

Confirmed the double-pole/zero structure of dressing factors

Validated the consistency of the proposed S matrix

Linked the pole structure to Landau box diagrams

Abstract

We investigate the analytic properties of the exact magnon S matrix of string theory on AdS_3 x S^3 x T^4 with R-R flux. We show that the previously proposed dressing factors have the exact double-pole/zero structure expected from Landau box diagrams. This constitutes a strong consistency check of our dressing factors, much as the Dorey-Hofman-Maldacena poles do for the all-loop dressing factor in AdS_5 x S^5.