Classifying integrable symmetric space strings via factorized scattering

Abstract

All symmetric space $Ad{S}_n$ solutions of type II supergravity have recently been found for $n>2$. For the supersymmetric solutions (and their T-duals) it is known that the Green-Schwarz string is classically integrable. We complete the classification by ruling out integrability for the remaining non-supersymmetric solutions. This is achieved by showing that tree-level scattering on the worldsheet of a GKP or BMN string fails to factorize for these cases.

17 pages; v2: Improvements to sec 1, results now summarized in Tab 1. Matches published version

References in corpus (19)

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• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
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• On integrability of strings on symmetric spaces
• The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• An improved AFS phase for AdS3 string integrability
• Worldsheet scattering for the GKP string
• Factorized Tree-level Scattering in AdS_4 x CP^3
• On the scattering of gluons in the GKP string
• All symmetric AdS(n>2) solutions of type II supergravity

Cited by in corpus (14)

• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• On the massless tree-level S-matrix in 2d sigma models
• The non-integrability of $L^{a,b,c}$ quiver gauge theories
• Non-integrability on AdS${}_3$ supergravity backgrounds
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• Non-integrability in AdS${}_3$ vacua
• Constraining integrable AdS/CFT with factorized scattering
• Chaos Bound and its violation in Black p-brane
• Non-integrability of the $\Omega$-deformation
• Analytic Non-Integrability and S-Matrix Factorization
• Tree level integrability in 2d quantum field theories and affine Toda models
• An Index for Quantum Integrability
• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
• The massless S-matrix of integrable $\sigma$-models