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Constraining integrable AdS/CFT with factorized scattering

Authors: Linus Wulff;

Constraining integrable AdS/CFT with factorized scattering

Abstract

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 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

High Energy Physics - Theory, integrable field theories, Bosonic Strings, FOS: Physical sciences, String and superstring theories in gravitational theory, Groups and algebras in quantum theory and relations with integrable systems, QC770-798, AdS-CFT Correspondence, bosonic strings, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, scattering amplitudes, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Integrable Field Theories, Scattering Amplitudes, \(S\)-matrix theory, etc. in quantum theory

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    11
    popularity
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    Top 10%
    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Average
Top 10%
Green
Published in a Diamond OA journal