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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

N=4 Poincare supergravity has a global SU(1,1) duality symmetry that actsmanifestly only on shell as it involves duality rotations of vector fields. AU(1) subgroup of this symmetry is known to be anomalous at the quantum level inthe presence of a non-trivial gravitational background. We first derive thisanomaly from a novel perspective, by relating it to a similar anomaly inconformal supergravity where SU(1,1) acts off shell, using the fact that N=4Poincare supergravity has a superconformal formulation. We explicitly constructthe corresponding local and nonlocal anomalous terms in the one-loop effectiveaction. We then study how this anomaly is reflected in the supergravityS-matrix. Calculating one-loop N=4 supergravity scattering amplitudes (with andwithout additional matter multiplets) using color/kinematics duality and thedouble-copy construction we find that a particular U(1) symmetry which waspresent in the tree-level amplitudes is broken at the quantum level. Thisbreaking manifests itself in the appearance of new one-loop N=4 supergravityamplitudes that have non-vanishing soft-scalar limits (these amplitudes areabsent in N>4 supergravities). We discuss the relation between thesesymmetry-violating amplitudes and the corresponding U(1) anomalous term in theone-loop supergravity effective action.

On the U(1) duality anomaly and the S-matrix of N=4 supergravity