Conformally flat supergeometry in five dimensions
High Energy Physics - Theory
2009-12-04 v3
Abstract
Using the superspace formulation for the 5D N = 1 Weyl supermultiplet developed in arXiv:0802.3953, we elaborate the concept of conformally flat superspace in five dimensions. For a large family of supersymmetric theories (including sigma-models and Yang-Mills theories) in the conformally flat superspace, we describe an explicit procedure to formulate their dynamics in terms of rigid 4D N = 1 superfields. The case of 5D N = 1 anti-de Sitter superspace is discussed as an example.
Cite
@article{arxiv.0804.1219,
title = {Conformally flat supergeometry in five dimensions},
author = {Sergei M. Kuzenko and Gabriele Tartaglino-Mazzucchelli},
journal= {arXiv preprint arXiv:0804.1219},
year = {2009}
}
Comments
16 pages, no figures; V2: typos corrected, comments added; V3: typo in eq. (79) corrected