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 investigate the complex of differential forms in curved, six-dimensional,$N=(1,0)$ superspace. The superconformal group acts on this complex bysuper-Weyl transformations. An ambi-twistor-like representation of a secondconformal group arises on a pure spinor subspace of the cotangent space. The$p$-forms are defined by super-Weyl-covariant tensor fields on this pure spinorsubspace. The on-shell dynamics of such fields is superconformal. We constructthe superspace de Rham complex by successively obstructing the closure offorms. We then extend the analysis to composite forms obtained by wedgingtogether forms of lower degree Finally, we comment on applications tointegration in curved superspace and give a superspace formulation of theabelian limit of the non-abelian tensor hierarchy of $N=(1,0)$ superconformalmodels and propose a formulation of it as a Chern-Simons theory on theambi-twistor-like superspace.

Superforms in Simple Six-dimensional Superspace