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Constraining integrable AdS/CFT with factorized scattering
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DOI：10.1007/JHEP04(2019)133.png)
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Abstract
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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 AdS(7) and AdS(6) backgrounds as well as AdS(5) Gaiotto-Maldacena backgrounds and a few highly supersymmetric AdS(4) and AdS(3) backgrounds.
Keywords:
AdS-CFT Correspondence
Bosonic Strings
Integrable Field Theories
Scattering Amplitudes
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