English

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 N=1{\cal N}=1 supergravity in the conformal superspace formalism, where the so-called covariant approach is used to antisymmetric tensor fields. We introduce pp-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.

Keywords

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

R2 v1 2026-06-22T14:25:12.243Z