Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace

TL;DR

This paper introduces a new off-shell formulation for 6D $ abla=(2,0)$ conformal supergravity in superspace, providing a complete gauged algebra and deriving the superfield for equations of motion.

Contribution

It develops the first off-shell superspace formulation for 6D $ abla=(2,0)$ conformal supergravity and constructs the unique superfield for its equations of motion.

Findings

Complete gauged algebra for 6D $ abla=(2,0)$ conformal supergravity

Derivation of the 6D $ abla=(2,0)$ Bach tensor superfield

Translation of results into component form for literature comparison

Abstract

We develop a new off-shell formulation for six-dimensional conformal supergravity obtained by gauging the 6D $\mathcal{N}=(2,0)$ superconformal algebra in superspace. We provide the complete gauged algebra, which proves to be considerably constrained compared to other conformal superspaces constructed in the past. This formulation is employed to obtain the unique 6D $\mathcal{N}=(2,0)$ Bach tensor superfield, which describes the multiplet of equations of motions for conformal supergravity, by using a general ansatz fixed by truncation to 6D $\mathcal{N}=(1,0)$ results. We also translate some results into components for precise matching against the literature.