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.
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Wulff, L. Constraining integrable AdS/CFT with factorized scattering. J. High Energ. Phys. 2019, 133 (2019). https://doi.org/10.1007/JHEP04(2019)133
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DOI: https://doi.org/10.1007/JHEP04(2019)133