Conformal supergravity in three dimensions: New off-shell formulation
High Energy Physics - Theory
2013-09-18 v3
Abstract
We propose a new off-shell formulation for N-extended conformal supergravity in three spacetime dimensions. Our construction is based on the gauging of the N-extended superconformal algebra in superspace. Covariant constraints are imposed such that the algebra of covariant derivatives is given in terms of a single curvature superfield which turns out to be the super Cotton tensor. An immediate corollary of this construction is that the curved superspace is conformally flat if and only if the super Cotton tensor vanishes. Upon degauging of certain local symmetries, our formulation is shown to reduce to the conventional one with the local structure group SL(2,R) x SO(N).
Keywords
Cite
@article{arxiv.1305.3132,
title = {Conformal supergravity in three dimensions: New off-shell formulation},
author = {Daniel Butter and Sergei M. Kuzenko and Joseph Novak and Gabriele Tartaglino-Mazzucchelli},
journal= {arXiv preprint arXiv:1305.3132},
year = {2013}
}
Comments
46 pages; v3: published version