English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We show that the four-loop four-point amplitudes of N = 5 supergravity areultraviolet finite in four dimensions, contrary to expectations based onsupersymmetry and duality-symmetry arguments. We explain why the diagrams ofany covariant local formalism cannot manifestly exhibit the necessarycancellations for finiteness but instead require a new type of nontrivialultraviolet cancellation that we call "enhanced cancellations". We also showthat the three-loop four-point amplitudes in N = 4 and N = 5 supergravitytheories display enhanced cancellations. To construct the loop integrand, weuse the duality between color and kinematics. We apply standard methods forextracting ultraviolet divergences in conjunction with the FIRE5 integralreduction program to arrive at the four-loop results.

Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop