AI Article Synopsis
- The authors propose a duality between color and kinematics in gauge-theory amplitudes that potentially extends to all quantum loop orders, suggesting that gravity amplitudes can be derived from gauge-theory amplitudes.
- They demonstrate this duality by successfully analyzing the three-loop four-point amplitude of N=4 super-Yang-Mills theory, leading to the corresponding amplitude for N=8 supergravity.
- Additionally, they mention a test involving a nonsupersymmetric two-loop scenario using pure Yang-Mills theory, which results in gravity interacting with an antisymmetric tensor and dilaton.
Article Abstract
In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gauge-theory diagram numerators. Here we conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones. As a nontrivial test, we show that the three-loop four-point amplitude of N=4 super-Yang-Mills theory can be arranged into a form satisfying the duality, and by taking double copies of the diagram numerators we obtain the corresponding amplitude of N=8 supergravity. We also remark on a nonsupersymmetric two-loop test based on pure Yang-Mills theory resulting in gravity coupled to an antisymmetric tensor and dilaton.
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| http://dx.doi.org/10.1103/PhysRevLett.105.061602 | DOI Listing |
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