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 generalize Cremmer-Julia 1st order action of $N=8$ supergravity withmanifest $E_{7(7)}$ symmetry to cases of $N=6$ with manifest $SO^*(12)$ and$N=5$ with manifest $SU(1,5)$ duality symmetries. These U dualities belong togroups of type E7 which do not admit a symmetric bilinear invariant for vectorfields. Therefore the 2d order classical action derived from the one withmanifest E7 type duality has a ghost vector field which, under appropriateboundary conditions, decouples. We show that when classical $N\geq 5$supergravities are deformed by a candidate UV divergence the ghost field doesnot decouple. Therefore we argue that U duality and supersymmetry suggest anexplanation of the mysterious cancellation of UV infinities at $L=4$, $N=5$ ind=4. The same reasoning implies that, in absence of duality and supersymmetryanomalies, which still require a better understanding, $N\geq 5$ perturbativesupergravities may be UV finite at higher-loops.

The Action with Manifest E7 Type Symmetry