2003/06/30 by R. Guven, R. Güven, James T. Liu +4 · 33 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Cosmological constant #Cosmology and Gravitation Theories #Gauged supergravity #Limit (mathematics) #Mathematical analysis #Mathematical physics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #String (physics) #String theory #Supergravity #Supersymmetry #Theoretical physics #Vacuum state #hep-th
paper · pdf · doi:10.1088/0264-9381/21/4/019
published in Classical and Quantum Gravity 21(4), 1001-1014 (IOP Publishing) · Latex, 17 pages; Section 4 improved
arxiv created 2003/10/07 · openalex publication_date 2004/01/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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 AdS 3 × S 3 , 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 × S 2 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 × S 2 vacuum should be selected over other members of the equally supersymmetric AdS 3 × S 3 family. We also obtain a family of dyonic string solutions in the gauged N = (1, 0) theory, whose near-horizon limits approach the AdS 3 times squashed S 3 solutions.