2017/06/30 by Zvi Bern, Alex Edison, David A. Kosower +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Curvature #Gauge theory #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Physics #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.96.066004
published as Phys. Rev. D 96, 066004 (2017) · 32 pages, 4 figures, RevTeX
openalex created_date 2017/06/15 · openalex publication_date 2017/09/07 · arxiv created 2017/11/18 · arxiv updated 2017/11/21 · openalex updated_date 2026/08/06
We evaluate one-loop amplitudes of N=4 supergravity in D dimensions using the double-copy procedure that expresses gravity integrands in terms of corresponding ones in Yang--Mills theory. We organize the calculation in terms of a set of gauge-invariant tensors, allowing us to identify evanescent contributions. Among the latter, we find the matrix elements of supersymmetric completions of curvature-squared operators. In addition, we find that such evanescent terms and the U(1)-anomalous contributions to one-loop N=4 amplitudes are tightly intertwined. The appearance of evanescent operators in N=4 supergravity and their relation to anomalies raises the question of their effect on the known four-loop divergence in this theory. We provide bases of gauge-invariant tensors and corresponding projectors useful for Yang--Mills theories as a by-product of our analysis.