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

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.