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Planar and Three-Dimensional Printing of Conductive Inks

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Published on: December 9, 2011

Dual Conformal Structure Beyond the Planar Limit.

Zvi Bern¹, Michael Enciso¹, Chia-Hsien Shen¹

¹Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, California 90095, USA.

Physical Review Letters

|October 9, 2018

Summary

This summary is machine-generated.

Researchers found dual conformal symmetries in nonplanar integrals of N=4 super-Yang-Mills theory. This discovery explains the analytic properties of scattering amplitudes, extending to higher loop orders and all subleading-color contributions.

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Area of Science:

High Energy Physics
Quantum Field Theory
String Theory

Background:

Planar scattering amplitudes in N=4 super-Yang-Mills theory exhibit simple analytic properties due to underlying symmetries.
Recent studies suggest these properties extend to the nonplanar sector, but the underlying symmetries remained unclear.

Purpose of the Study:

To explicitly demonstrate the existence of symmetries in nonplanar integrals of N=4 super-Yang-Mills theory.
To understand the origin of simple analytic properties in nonplanar scattering amplitudes.

Main Methods:

Analysis of an infinite class of nonplanar integrals.
Focus on two-loop, four- and five-point amplitudes, covering all subleading-color contributions.

Main Results:

Explicit demonstration of symmetries analogous to dual conformal invariance in the studied nonplanar integrals.
Confirmation that these symmetries underlie the analytic properties of nonplanar scattering amplitudes.

Conclusions:

The identified symmetries provide a fundamental understanding of the analytic structure of nonplanar scattering amplitudes in N=4 super-Yang-Mills theory.
A conjecture is proposed that these symmetries persist across all loop orders for all amplitudes in the theory.