Local BCJ numerators for ten-dimensional SYM at one loop

Abstract

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.

53 pages, v2: typos removed, references added. Proof of (B.3) included. Extraneous figures at the end of the pdf file are now gone

References in corpus (8)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
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Cited by in corpus (10)

• Off-Shell Color-Kinematics Duality for Chern-Simons
• Tree-level amplitudes from the pure spinor superstring
• Superstring loop amplitudes from the field theory limit
• Perfecting one-loop BCJ numerators in SYM and supergravity
• Kinematic numerators from the worldsheet: cubic trees from labelled trees
• One-loop amplitudes in Einstein-Yang-Mills from forward limits
• One-loop diagrams with quadratic propagators from the worldsheet
• One-loop Bern-Carrasco-Johansson Numerators on Quadratic Propagators from the Worldsheet
• Next-to-MHV Yang-Mills kinematic algebra
• Pure spinor formulation of the superstring and its applications