A note on one-loop cluster adjacency in N = 4 SYM

A bstract We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory. We show that the n -point one-loop NMHV ratio function satisfies Steinmann cluster adjacency. We also show that the one-loop BDS-like normalized NMHV amplitude satisfies cluster adjacency b...

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Veröffentlicht in:The journal of high energy physics 2021-01, Vol.2021 (1)
Hauptverfasser: Mago, Jorge, Schreiber, Anders, Spradlin, Marcus, Volovich, Anastasia
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Volovich, Anastasia
description A bstract We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory. We show that the n -point one-loop NMHV ratio function satisfies Steinmann cluster adjacency. We also show that the one-loop BDS-like normalized NMHV amplitude satisfies cluster adjacency between Yangian invariants and final symbol entries up to 9-points. We present conjectures for cluster adjacency properties of Plücker coordinates, quadratic cluster variables, and NMHV Yangian invariants that generalize the notion of weak separation.
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subjects Algebra
Amplitudes
Classical and Quantum Gravitation
Clusters
Differential and Algebraic Geometry
Elementary Particles
High energy physics
Invariants
Kinematics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Supersymmetric Gauge Theory
Variables
Yang-Mills theory
title A note on one-loop cluster adjacency in N = 4 SYM
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