Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
High Energy Physics - Theory
2025-06-19 v2 Mathematical Physics
math.MP
Abstract
We develop a new off-shell formulation for six-dimensional conformal supergravity obtained by gauging the 6D 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 Bach tensor superfield, which describes the multiplet of equations of motions for conformal supergravity, by using a general ansatz fixed by truncation to 6D results. We also translate some results into components for precise matching against the literature.
Cite
@article{arxiv.2506.01630,
title = {Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace},
author = {Christian Kennedy and Gabriele Tartaglino-Mazzucchelli},
journal= {arXiv preprint arXiv:2506.01630},
year = {2025}
}
Comments
v2: 86 pages; minor typos corrected, references added