Loop corrections for Kaluza-Klein AdS amplitudes
Copyright policy )Loop corrections for Kaluza-Klein AdS amplitudes
Abstract Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of $$ \mathcal{N} $$ N = 4 super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein modes, obtaining the amplitude for two graviton multiplets and two states of the first KK mode. Our method again relies on resolving the large N degeneracy among a family of long double-trace operators, for which we obtain explicit formulas for the leading anomalous dimensions. Having constructed the one-loop amplitude we are able to obtain a formula for the one-loop corrections to the anomalous dimensions of all twist five double-trace operators.
- Durham University United Kingdom
- University of Milan Italy
- University of Milano-Bicocca Italy
- University of Southampton United Kingdom
- UNIVERSITY OF SOUTHAMPTON
High Energy Physics - Theory, Conformal Field Theory, \(1/N\) expansion, FOS: Physical sciences, 1/N Expansion, QC770-798, AdS-CFT Correspondence, conformal field theory, 530, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric Gauge Theory, Yang-Mills and other gauge theories in quantum field theory, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Supersymmetric field theories in quantum mechanics, Kaluza-Klein and other higher-dimensional theories, supersymmetric gauge theory
High Energy Physics - Theory, Conformal Field Theory, \(1/N\) expansion, FOS: Physical sciences, 1/N Expansion, QC770-798, AdS-CFT Correspondence, conformal field theory, 530, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric Gauge Theory, Yang-Mills and other gauge theories in quantum field theory, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Supersymmetric field theories in quantum mechanics, Kaluza-Klein and other higher-dimensional theories, supersymmetric gauge theory
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