Six-dimensional Supergravity and Projective Superfields

TL;DR

This paper develops a superspace formulation for six-dimensional N=(1,0) conformal supergravity, introducing projective superfields and an invariant action principle, advancing the theoretical framework for supergravity-matter systems.

Contribution

It introduces a novel superspace formulation with projective superfields and an invariant action principle for 6D conformal supergravity, expanding the tools for supergravity-matter coupling.

Findings

Superspace constraints invariant under super-Weyl transformations.

Coupling to a super-3-form tensor multiplet recovers known Weyl super-multiplet.

Constructed a locally supersymmetric, super-Weyl invariant action in projective superspace.

Abstract

We propose a superspace formulation of N=(1,0) conformal supergravity in six dimensions. The corresponding superspace constraints are invariant under super-Weyl transformations generated by a real scalar parameter. The known variant Weyl super-multiplet is recovered by coupling the geometry to a super-3-form tensor multiplet. Isotwistor variables are introduced and used to define projective superfields. We formulate a locally supersymmetric and super-Weyl invariant action principle in projective superspace. Some families of dynamical supergravity-matter systems are presented.