Local supertwistors and conformal supergravity in six dimensions

TL;DR

This paper explores the use of local supertwistor formalism to analyze superconformal geometry in six dimensions, deriving the geometry and transformations related to conformal supergravity multiplets.

Contribution

It introduces a supertwistor-based approach to six-dimensional superconformal geometry and derives the structure of conformal supergravity multiplets and super-Weyl transformations.

Findings

Derived superconformal geometry for (1, 0) and (2, 0) multiplets

Established super-Weyl transformation properties

Connected supertwistor formalism with conformal supergravity

Abstract

The local supertwistor formalism, which involves a superconformal connection acting on the bundle of such objects over superspace, is used to investigate superconformal geometry in six dimensions. The geometry corresponding to (1, 0) and (2, 0) off-shell conformal supergravity multiplets, as well the associated finite super-Weyl transformations, are derived.