Consistent N=8 truncation of massive IIA on S ^{6}
Abstract
Massive type IIA supergravity is shown to admit a consistent truncation on the sixsphere to maximal supergravity in four dimensions with a dyonic ISO(7) gauging. We obtain the complete, nonlinear embedding of all the D = 4 fields into the IIA metric and form potentials, and show its consistency. We first rewrite the IIA theory in an SO(1 , 3) × SL(7)covariant way. Then, we employ an N=8 SL(7)covariant restriction of the D = 4 tensor hierarchy in order to find the full embedding. The redundant D = 4 degrees of freedom introduced by the tensor hierarchy can be eliminated by writing the embedding in terms of the field strengths and exploiting the restricted duality hierarchy. In particular, closed expressions for the FreundRubin term are found using this technique which reveal a pattern valid for other truncations. Finally, we show that the present N=8 truncation of massive IIA on S ^{6} and the N=2 truncation obtained when S ^{6} is equipped with its nearlyKähler structure, overlap in the N=1 , G_{2}invariant sector of the former.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2015
 DOI:
 10.1007/JHEP12(2015)020
 arXiv:
 arXiv:1509.02526
 Bibcode:
 2015JHEP...12..020G
 Keywords:

 Flux compactifications;
 Extended Supersymmetry;
 Supergravity Models;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 43 pages