Abelian tensor hierarchy in 4D ${\cal N}=1$ conformal supergravity
High Energy Physics - Theory
2016-10-12 v1
Abstract
We consider Abelian tensor hierarchy in four-dimensional supergravity in the conformal superspace formalism, where the so-called covariant approach is used to antisymmetric tensor fields. We introduce -form gauge superfields as superforms in the conformal superspace. We solve the Bianchi identities under the constraints for the superforms. As a result, each of form fields is expressed by a single gauge invariant superfield. The action of superforms is shown with the invariant superfields. We also show the relation between the superspace formalism and the superconformal tensor calculus.
Cite
@article{arxiv.1606.04448,
title = {Abelian tensor hierarchy in 4D ${\cal N}=1$ conformal supergravity},
author = {Shuntaro Aoki and Tetsutaro Higaki and Yusuke Yamada and Ryo Yokokura},
journal= {arXiv preprint arXiv:1606.04448},
year = {2016}
}
Comments
31 pages