Loop corrections for Kaluza-Klein AdS amplitudes

Aprile, F.; Drummond, J.M.; Heslop, P.; Paul, H.

Abstract

Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of 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.

Citation

Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2018). Loop corrections for Kaluza-Klein AdS amplitudes. Journal of High Energy Physics, 2018(5), Article 56. https://doi.org/10.1007/jhep05%282018%29056

• Journal Article Type: Article
• Acceptance Date: Apr 19, 2018
• Online Publication Date: May 9, 2018
• Publication Date: May 9, 2018
• Deposit Date: May 30, 2018
• Publicly Available Date: May 30, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 5
• Article Number: 56
• DOI: https://doi.org/10.1007/jhep05%282018%29056
• Public URL: https://durham-repository.worktribe.com/output/1358040