Integrability and non-perturbative effects in the AdS/CFT correspondence

TL;DR

This paper develops a non-perturbative resummation method for the dressing phase in AdS/CFT, providing a unified description consistent with symmetry principles and revealing connections to matrix models.

Contribution

It introduces a non-perturbative resummation approach for the dressing phase in AdS/CFT, aligning weak-coupling coefficients with crossing symmetry and transcendentality.

Findings

Resummation yields a general form for weak-coupling coefficients.

The approach respects crossing symmetry and transcendentality.

Analogies with the c=1 matrix model are discussed.

Abstract

We present a non-perturbative resummation of the asymptotic strong-coupling expansion for the dressing phase factor of the AdS_5xS^5 string S-matrix. The non-perturbative resummation provides a general form for the coefficients in the weak-coupling expansion, in agreement with crossing symmetry and transcendentality. The ambiguities of the non-perturbative prescription are discussed together with the similarities with the non-perturbative definition of the c=1 matrix model.