English

Warped Ricci-flat reductions

High Energy Physics - Theory 2014-08-20 v1

Abstract

We present a simple class of warped-product vacuum (Ricci-flat) solutions to ten and eleven-dimensional supergravity, where the internal space is flat and the warp factor supports de Sitter (dS) and anti-de Sitter (AdS) vacua in addition to trivial Minkowski vacua. We outline the construction of consistent Kaluza-Klein (KK) reductions and show that, although our vacuum solutions are non-supersymmetric, these are closely related to the bosonic part of well-known maximally supersymmetric reductions on spheres. We comment on the stability of our solutions, noting that (A)dS3_3 vacua pass routine stability tests.

Keywords

Cite

@article{arxiv.1406.6354,
  title  = {Warped Ricci-flat reductions},
  author = {Eoin Ó Colgáin and M. M. Sheikh-Jabbari and Justin F. Vázquez-Poritz and Hossein Yavartanoo and Zhibai Zhang},
  journal= {arXiv preprint arXiv:1406.6354},
  year   = {2014}
}

Comments

12 pages, 2 figures

R2 v1 2026-06-22T04:46:08.691Z