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 (46)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Review of AdS/CFT Integrability: An Overview
• A semi-classical limit of the gauge/string correspondence
• The D4-D8 Brane System and Five Dimensional Fixed Points
• All AdS_7 solutions of type II supergravity
• A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature
• Light-cone Superstring in AdS Space-time
• Holography for (1,0) theories in six dimensions
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity I: Local solutions
• Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
• AdS_6 solutions of type II supergravity
• Chaos in the Gauge/Gravity Correspondence
• 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 Type IIA geometries dual to N = 2 SCFTs
• Analytic Non-integrability in String Theory
• 4d N=2 superconformal linear quivers with type IIA duals
• The N>2 supersymmetric AdS vacua in maximal supergravity
• A note on supersymmetric AdS_6 solutions of massive type IIA supergravity
• Chaos around Holographic Regge Trajectories
• (Non)-Integrability of Geodesics in D-brane Backgrounds
• Supersymmetric AdS_6 Solutions of Type IIB Supergravity
• On (non)integrability of classical strings in p-brane backgrounds
• Integrability Lost
• On Marginal Deformations and Non-Integrability
• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• AdS${}_3$ solutions with exceptional supersymmetry
• The non-Integrability of Strings in Massive Type IIA and their Holographic duals
• Chaotic strings in a near Penrose limit of AdS${}_5\times T^{1,1}$
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Non-integrability in non-relativistic theories
• Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
• On integrability of strings on symmetric spaces
• Chaotic dynamics of strings in charged black hole backgrounds
• On the massless tree-level S-matrix in 2d sigma models
• The fate of chaotic strings in a confining geometry
• Chaos in classical string dynamics in $\hat{\gamma }$ deformed $Ad{S}_5\times T^{1,1}$
• An $\mathcal{N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIA
• 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
• Classifying integrable symmetric space strings via factorized scattering
• Integrability of the superstring in AdS(3) x S(2) x S(2) x T(3)
• Worldsheet scattering for the GKP string
• The geometry of $\mathcal{N}=3$ AdS${}_4$ in massive IIA
• All symmetric AdS(n>2) solutions of type II supergravity

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• The non-integrability of $L^{a,b,c}$ quiver gauge theories
• Non-integrability on AdS${}_3$ supergravity backgrounds
• Non-integrability in AdS${}_3$ vacua
• Spin-2 excitations in Gaiotto-Maldacena solutions
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• Analytic Non-Integrability and S-Matrix Factorization
• Non-integrability of the $\Omega$-deformation
• An Index for Quantum Integrability
• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA