1306.2386 (H. Lu)

Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua    [PDF]

H. Lu

We consider D-dimensional Einstein gravity coupled to two U(1) vectors and a dilaton with a scalar potential. We derive the condition that analytical two-charged dilatonic AdS black holes can be constructed. Turning of the cosmological constant, the extremal Reissner-Nordstrom black hole emerges as the harmonic superposition of the two U(1) building blocks. We also obtain the magnetic AdS_{D-2}\times Y^2 vacua where Y^2 can be R^2, S^2 or hyperbolic 2-space. These vacua arise as the fix points of some super potentials and recover the known supersymmetric vacua when the theory can be embedded in gauged supergravities. The AdS_{D-2}\times R^2 vacua are of particular interest since they are dual to some quantum field theories at the lowest Landau level. By studying the embedding of some of these solutions in the string and M-theory, we find that the M2/M5-system with the equal M2 and M5 charges can intersect with another such M2/M5 on to a dyonic black hole. Analogous intersection rule applies also to the D1/D5-system. The intersections are non-supersymmetric but in the manner of harmonic superpositions.

View original: http://arxiv.org/abs/1306.2386