Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space

TL;DR

This paper derives conditions on Ramond-Ramond fluxes necessary for integrability of AdS string theories by analyzing tree-level scattering processes, providing a tool to assess the integrability of AdS/CFT models.

Contribution

It introduces a novel method to constrain flux configurations for integrability in AdS backgrounds using worldsheet scattering analysis.

Findings

Derived a condition on Ramond-Ramond fluxes for integrability.

Applied the condition to rule out integrability in specific AdS backgrounds.

Provided a practical criterion to test AdS/CFT dualities for integrability.

Abstract

Factorization of scattering is the hallmark of integrable 1+1 dimensional quantum field theories. For factorization of scattering to be possible the set of masses and momenta must be conserved in any two-to-two scattering process. We use this fact to constrain the form of the Ramond-Ramond fluxes for integrable supergravity anti-de Sitter backgrounds by analysing tree-level scattering of two AdS bosons into two fermions on the worldsheet of a BMN string. We find a condition which can be efficiently used to rule out integrability of AdS strings and therefore of the corresponding AdS/CFT dualities, as we demonstrate for some simple examples.