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Updated: Aug 19, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
A curious truncation of N=4 supersymmetric Yang-Mills theory
Anirban Basu1, Michael B Green, Savdeep Sethi
1Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA.
Abstract:
The coupling constant dependence of correlation functions of Bogomol'nyi-Prasad-Sommerfield operators in the N=4 supersymmetric Yang-Mills theory can be expressed in terms of integrated correlation functions. We approximate these integrated correlators by using a truncated operator product expansion. This leads to differential equations for the coupling dependence. When applied to a particular 16 point correlator, the coupling dependence we find agrees with the corresponding amplitude computed via the gauge theory/string theory correspondence. We conjecture that this truncation becomes exact in the large N and large 't Hooft coupling limit.
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