Constraining integrable AdS/CFT with factorized scattering

Abstract

We consider (warped) AdS string backgrounds which allow for a GKP spinning string/null cusp solution. Integrability implies that the worldsheet S-matrix should factorize, which in turn constrains the form of the warp factor as a function of the coordinates of the internal space. This constraint is argued to rule out integrability for all supersymmetric AdS7 and AdS6 backgrounds as well as AdS5 Gaiotto-Maldacena backgrounds and a few highly supersymmetric AdS4 and AdS3 backgrounds.

19 pages; v2: Further clarifications in sec 4 and 5. Published version

References in corpus (12)

• Holography for (1,0) theories in six dimensions
• AdS_6 solutions of type II supergravity
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• On (non)integrability of classical strings in p-brane backgrounds
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Non-integrability in non-relativistic theories
• Chaotic dynamics of strings in charged black hole backgrounds
• Non-integrability and Chaos with Unquenched Flavor
• Analytic integrability for strings on $\eta$ and $\lambda$ deformed backgrounds
• Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space
• All symmetric AdS(n>2) solutions of type II supergravity