
arXiv: 1912.07632
Abstract We consider α′ corrections to the one-loop four-point correlator of the stress- tensor multiplets in $$ \mathcal{N} $$ N = 4 super Yang-Mills at order 1/N4. Holographically, this is dual to string corrections of the one-loop supergravity amplitude on AdS5 × S5. While this correlator has been considered in Mellin space before, we derive the corresponding position space results, gaining new insights into the analytic structure of AdS loop amplitudes. Most notably, the presence of a transcendental weight three function involving new singularities is required, which has not appeared in the context of AdS amplitudes before. We thereby confirm the structure of string corrected one-loop Mellin amplitudes, and also provide new explicit results at orders in α′ not considered before.
High Energy Physics - Theory, Conformal Field Theory, FOS: Physical sciences, 1/N Expansion, String and superstring theories in gravitational theory, QC770-798, AdS-CFT Correspondence, conformal field theory, Supergravity, 530, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Perturbative methods of renormalization applied to problems in quantum field theory, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Yang-Mills and other gauge theories in mechanics of particles and systems, Supersymmetric field theories in quantum mechanics, 1/N expansion, Geometrodynamics and the holographic principle
High Energy Physics - Theory, Conformal Field Theory, FOS: Physical sciences, 1/N Expansion, String and superstring theories in gravitational theory, QC770-798, AdS-CFT Correspondence, conformal field theory, Supergravity, 530, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Perturbative methods of renormalization applied to problems in quantum field theory, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Yang-Mills and other gauge theories in mechanics of particles and systems, Supersymmetric field theories in quantum mechanics, 1/N expansion, Geometrodynamics and the holographic principle
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