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Constraining integrable AdS/CFT with factorized scattering

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arxiv 1903.08660 v2 pith:DA2BSQHK submitted 2019-03-20 hep-th

Linus Wulff This is my paper · ORCID
classification hep-th
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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.

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  1. Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA

    hep-th 2024-12 conditional novelty 6.0 of 10

    Only the sinusoidal quiver α(z)=A sin(ωz) in the new massive type IIA AdS5 family shows no chaotic signatures, providing suggestive evidence for its classical integrability.

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