Localised AdS5 ⇥ S Black Holes
نویسندگان
چکیده
We numerically construct asymptotically global AdS5 ⇥ S black holes that are localised on the S. These are solutions to type IIB supergravity with S horizon topology that dominate the microcanonical ensemble at small energies. At higher energies, there is a first-order phase transition to AdS5-Schwarzschild⇥S. By the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, this transition is dual to spontaneously breaking the SO(6) R-symmetry of N = 4 supersymmetric Yang-Mills down to SO(5). We extrapolate the location of this phase transition and compute the expectation value of a scalar operator in the low energy phase.
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