Local BCJ numerators for ten-dimensional SYM at one loop
Elliot Bridges, Carlos R. Mafra
Abstract
A bstract We obtain local numerators satisfying the BCJ color-kinematics duality at one loop for super-Yang-Mills theory in ten dimensions. This is done explicitly for six points via the field-theory limit of the genus-one open superstring correlators for different color orderings, in an analogous manner to an earlier derivation of local BCJ-satisfying numerators at tree level from disk correlators. These results solve an outstanding puzzle from a previous analysis where the six-point numerators did not satisfy the color-kinematics duality.
Topics & Concepts
PhysicsLimit (mathematics)Superstring theoryDuality (order theory)Loop (graph theory)Tree (set theory)Mathematical physicsTheoretical physicsWilson loopBeta function (physics)Particle physicsQuantum electrodynamicsSupersymmetryQuantum chromodynamicsFeynman graphCompactification (mathematics)Quantum mechanicsBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNoncommutative and Quantum Gravity Theories