Linear relations between N >= 4 supergravity and subleading-color SYM amplitudes

Abstract

The IR divergences of supergravity amplitudes are less severe than those of planar SYM amplitudes, and are comparable to those subleading-color SYM amplitudes that are most subleading in the 1/N expansion, namely O(1/epsilon^L) for L-loop amplitudes. We derive linear relations between one- and two-loop four-point amplitudes and one-loop five-point amplitudes of N = 4, 5, and 6 supergravity and the most-subleading-color contributions of the analogous amplitudes of N = 0, 1, and 2 SYM theory, extending earlier results for N = 8 supergravity amplitudes. Our work relies on linear relations between N >= 4 supergravity and planar SYM amplitudes that were recently derived using the double-copy property of gravity, and color-kinematic duality of gauge theories.

21 pages, 1 figure

References in corpus (7)

• N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
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• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
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Cited by in corpus (20)

• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
• Algebras for Amplitudes
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• BCJ duality and the double copy in the soft limit
• Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory
• Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
• The Non-Abelian Exponentiation theorem for multiple Wilson lines
• Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
• All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
• Virtual Color-Kinematics Duality: 6-pt 1-Loop MHV Amplitudes
• The Complete KLT-Map Between Gravity and Gauge Theories
• An Introduction to Webs
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• The gravitational cusp anomalous dimension from AdS space
• The Construction of Dual-trace Factor in Yang-Mills Theory
• Note on Construction of Dual-trace Factor in Yang-Mills Theory
• ABJM amplitudes and WL at finite N
• Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes