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Durham University

Centre for Particle Theory

Research Staff

Publication details for Paul Heslop

Aprile, F., Drummond, J. M., Heslop, P. & Paul, H. (2018). Loop corrections for Kaluza-Klein AdS amplitudes. Journal of High Energy Physics 2018(5): 56.

Author(s) from Durham

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.