TriSasakian consistent reduction
Abstract
We establish a universal consistent KaluzaKlein truncation of Mtheory based on sevendimensional triSasakian structure. The fourdimensional truncated theory is an mathcal{N} = 4 gauged supergravity with three vector multiplets and a nonabelian gauge group, containing the compact factor SO(3). Consistency follows from the fact that our truncation takes exactly the same form as a leftinvariant reduction on a specific coset manifold, and we show that the same holds for the various universal consistent truncations recently put forward in the literature. We describe how the global symmetry group SL(2, mathbb{R} ) × SO(6, 3) is embedded in the symmetry group E_{7(7)} of maximally supersymmetric reductions, and make the connection with the approach of Exceptional Generalized Geometry. Vacuum AdS_{4} solutions spontaneously break the amount of supersymmetry from mathcal{N} = 4 to mathcal{N} = 3, 1 or 0, and the spectrum contains massive modes. We find a subtruncation to minimal mathcal{N} = 3 gauged supergravity as well as an mathcal{N} = 1 subtruncation to the SO(3)invariant sector. We also show that a reduction on the homogeneous space N ^{010} enhances the universal triSasakian truncation with a Betti vector multiplet.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2012
 DOI:
 10.1007/JHEP01(2012)086
 arXiv:
 arXiv:1110.5327
 Bibcode:
 2012JHEP...01..086C
 Keywords:

 Supergravity Models;
 MTheory;
 Flux compactifications;
 Gaugegravity correspondence;
 High Energy Physics  Theory
 EPrint:
 40 pages main text, 9 pages appendix, 1 figure, 6 tables, v2: JHEP version, added references, minor corrections, changed notation fluctuations in tables 24