New Compactifications of Eleven Dimensional Supergravity
High Energy Physics - Theory
2015-06-05 v4 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we introduce consistent ansatze for the 4-form field strength of eleven-dimensional supergravity and rederive the known squashed, stretched, and the Englert solutions. Further, by rewriting the metric of S^7 as a U(1) bundle over CP^3, we present yet more general ansatze. As a result, we find a new compactifying solution of the type AdS_5\times CP^3, where CP^3 is stretched along its S^2 fiber. We also find a new solution of AdS_2\times H^2\times S^7 type in Euclidean space.
Cite
@article{arxiv.1205.1349,
title = {New Compactifications of Eleven Dimensional Supergravity},
author = {Ali Imaanpur},
journal= {arXiv preprint arXiv:1205.1349},
year = {2015}
}
Comments
15 pages, revised sec. 4, included new CP^3 and S^7 compactifications, published version