One-loop four-graviton amplitudes in N=4 supergravity models

Abstract

We evaluate in great detail one-loop four-graviton field theory amplitudes in pure N=4 D=4 supergravity. The expressions are obtained by taking the field theory limits of (4,0) and (2,2) space-time supersymmetric string theory models. For each model we extract the contributions of the spin-1 and spin-2 N=4 supermultiplets running in the loop. We show that all of those constructions lead to the same four-dimensional result for the four-graviton amplitudes in pure supergravity even though they come from different string theory models.

46 pages. One figure. v2: minor corrections and clarifications. References added. v3: (2,2) analysis corrected, four-graviton amplitudes found to be indentical in all models. Various clarifications and precisions added. References list updated. v4: Assorted spelling and grammar corrections. Version to be published

References in corpus (6)

• Three-Loop Superfiniteness of N=8 Supergravity
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• E7(7) constraints on counterterms in N=8 supergravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• The ultra-violet question in maximally supersymmetric field theories
• On duality symmetries of supergravity invariants

Cited by in corpus (13)

• Pure Gravities via Color-Kinematics Duality for Fundamental Matter
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Gluons and gravitons at one loop from ambitwistor strings
• Tropical Amplitudes
• BCJ duality and double copy in the closed string sector
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• Four-derivative couplings and BPS dyons in heterotic CHL orbifolds
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• Scattering amplitudes in gauge theories with and without supersymmetry