String field theory vertex from integrability

TL;DR

This paper introduces a new framework for calculating string field theory vertices in integrable models, aiming to connect string theory in AdS spaces with gauge theory OPE coefficients across all couplings.

Contribution

It proposes integrability axioms for the string vertex and demonstrates their application in pp-wave string theory and weak coupling OPE computations.

Findings

Framework for integrable string vertices proposed

Application demonstrated in pp-wave string theory

Connections made to weak coupling OPE coefficients

Abstract

We propose a framework for computing the (light cone) string field theory vertex in the case when the string worldsheet QFT is a generic integrable theory. The prime example and ultimate goal would be the $AdS_5 \times S^5$ superstring theory cubic string vertex and the chief application will be to use this framework as a formulation for ${ \cal N}=4$ SYM theory OPE coefficients valid at any coupling up to wrapping corrections. In this paper we propose integrability axioms for the vertex, illustrate them on the example of the pp-wave string field theory and also uncover similar structures in weak coupling computations of OPE coefficients.