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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider systems of higher spin gauge fields that are described by a freefield Lagrangian and one interaction of arbitrary order $N$ that is local andsatisfies abelian gauge invariance. Such "solitary" interactions are derivedfrom Noether potentials solving the Noether equations. They are constructedusing a free conformal field theory carried by the same flat space as thehigher spin fields. In this field theory we consider $N$-loop functions ofconserved, conformally covariant currents, they are UV divergent. The residueof the first order pole in the dimensional regularisation approach to the$N$-loop function is a local differential operator and is free of anomalies, sothat current conservation and conformal covariance is maintained. Applying thisoperator to the higher spin fields, the Noether potential results. We study thecases $N=2, N=3$ and N=4. We argue that our N=3 vertex for any number ofderivatives $\Delta$ is identical with the known cubic interaction.

Solving Noether's equations for gauge invariant local Lagrangians of N arbitrary higher even spin fields