English

Abelian Tensor Hierarchy in 4D, N=1 Superspace

High Energy Physics - Theory 2016-04-20 v1

Abstract

With the goal of constructing the supersymmetric action for all fields, massless and massive, obtained by Kaluza-Klein compactification from type II theory or M-theory in a closed form, we embed the (Abelian) tensor hierarchy of p-forms in four-dimensional, N=1 superspace and construct its Chern-Simons-like invariants. When specialized to the case in which the tensors arise from a higher-dimensional theory, the invariants may be interpreted as higher-dimensional Chern-Simons forms reduced to four dimensions. As an application of the formalism, we construct the eleven-dimensional Chern-Simons form in terms of four-dimensional, N=1 superfields.

Keywords

Cite

@article{arxiv.1601.03066,
  title  = {Abelian Tensor Hierarchy in 4D, N=1 Superspace},
  author = {Katrin Becker and Melanie Becker and William D Linch and Daniel Robbins},
  journal= {arXiv preprint arXiv:1601.03066},
  year   = {2016}
}

Comments

31 pages

R2 v1 2026-06-22T12:28:14.040Z