Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-01-02
Nucl.Phys. B684 (2004) 235-263
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 33 pages, 2 eps figures. Some misprints corrected and teh KG4 symmetry superalgebra added
Scientific paper
10.1016/j.nuclphysb.2004.02.020
We study the relations between all the vacua of Lorentzian and Euclidean d=4,5,6 SUGRAs with 8 supercharges, finding a new limiting procedure that takes us from the over-rotating near-horizon BMPV black hole to the Godel spacetime. The timelike compactification of the maximally supersymmetric Godel solution of N=1,d=5 SUGRA gives a maximally supersymmetric solution of pure Euclidean N=2,d=4 with flat space but non-trivial anti-selfdual vector field flux (``flacuum'') that, on the one hand, can be interpreted as an U(1) instanton on the 4-torus and that, on the other hand, coincides with the graviphoton background shown by Berkovits and Seiberg to produce the C-deformation introduced recently by Ooguri and Vafa. We construct flacuum solutions in other theories such as Euclidean type IIA supergravity.
Meessen Patrick
Ortin Tomas
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