Variant N=(1,1) Supergravity and (Minkowski)_4 x S^2 Vacua

We construct the fermionic sector and supersymmetry transformation rules of a variant N=(1,1) supergravity theory obtained by generalized Kaluza-Klein reduction from seven dimensions. We show that this model admits both (Minkowski)_4 x S^2 and (Minkowski)_3 x S^3 vacua. We perform a consistent Kaluza-Klein reduction on S^2 and obtain D=4, N=2 supergravity coupled to a vector multiplet, which can be consistently truncated to give rise to D=4, N=1 supergravity with a chiral multiplet.Comment: Latex, 17 pages. Version appearing in Classical and Quantum Gravit

Fine tuning and six-dimensional gauged N =(1, 0) supergravity vacua

We find a new family of supersymmetric vacuum solutions in the six-dimensional chiral gauged N = (1, 0) supergravity theory. They are generically of the form AdS3 × S3, where the 3-sphere is squashed homogeneously along its Hopf fibres. The squashing is freely adjustable, corresponding to changing the 3-form charge, and the solution is supersymmetric for all squashings. In a limit where the length of the Hopf fibres goes to zero, one recovers, after a compensating rescaling of the fibre coordinate, a solution that is locally the same as the well-known (Minkowski)4 × S2 vacuum of this theory. It can now be viewed as a fine tuning of the new more general family. The traditional ‘cosmological constant problem’ is replaced in this theory by the problem of why the four-dimensional (Minkowski)4 × S2 vacuum should be selected over other members of the equally supersymmetric AdS3 × S3 family. We also obtain a family of dyonic string solutions in the gauged N = (1, 0) theory, whose near-horizon limits approach the AdS3 times squashed S3 solutions.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/49215/2/cqg4_4_019.pd