S^3 and S^4 Reductions of Type IIA Supergravity
Abstract
We construct a consistent reduction of type IIA supergravity on S^3, leading to a maximal gauged supergravity in seven dimensions with the full set of massless SO(4) Yang-Mills fields. We do this by starting with the known S^4 reduction of eleven-dimensional supergravity, and showing that it is possible to take a singular limit of the resulting standard SO(5)-gauged maximal supergravity in seven dimensions, whose eleven-dimensional interpretation involves taking a limit where the internal 4-sphere degenerates to RxS^3. This allows us to reinterpret the limiting SO(4)-gauged theory in seven dimensions as the S^3 reduction of type IIA supergravity. We also obtain the consistent S^4 reduction of type IIA supergravity, which gives an SO(5)-gauged maximal supergravity in D=6.
Cite
@article{arxiv.hep-th/0005137,
title = {S^3 and S^4 Reductions of Type IIA Supergravity},
author = {M. Cvetic and H. Lu and C. N. Pope and A. Sadrzadeh and T. A. Tran},
journal= {arXiv preprint arXiv:hep-th/0005137},
year = {2009}
}
Comments
Latex, 21 pages, references added