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Updated: Dec 21, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Bootstrapping the Simplest Correlator in Planar N=4 Supersymmetric Yang-Mills Theory to All Loops
1Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada; and ICTP South American Institute for Fundamental Research, São Paulo 01440-070, Brazil.
Abstract:
We present the full form of a four-point correlation function of large BPS operators in planar N=4 supersymmetric Yang-Mills theory to any loop order. We do this by following a bootstrap philosophy based on three simple axioms pertaining to (i) the space of functions arising at each loop order, (ii) the behavior in the operator product expansion (OPE) in a double-trace dominated channel and (iii) the behavior under a double null limit. We discuss how these bootstrap axioms are in turn strongly motivated by empirical observations up to nine loops unveiled through integrability methods in our previous work [F. Coronado, J. High Energy Phys. 01 (2019) 056.JHEPFG1029-847910.1007/JHEP01(2019)056] on this simplest correlation function.
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