Generalized Attractor Points in Gauged Supergravity

Details Generalized Attractor Points in Gauged Supergravity Generalized Attractor Points in Gauged Supergravity

2011-04-14

arxiv.org/abs/1104.2884v3

Phys.Rev.D84:046003,2011

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTeX; v2, references fixed; v3, minor changes, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.84.046003

The attractor mechanism governs the near-horizon geometry of extremal black holes in ungauged 4D N=2 supergravity theories and in Calabi-Yau compactifications of string theory. In this paper, we study a natural generalization of this mechanism to solutions of arbitrary 4D N=2 gauged supergravities. We define generalized attractor points as solutions of an ansatz which reduces the Einstein, gauge field, and scalar equations of motion to algebraic equations. The simplest generalized attractor geometries are characterized by non-vanishing constant anholonomy coefficients in an orthonormal frame. Basic examples include Lifshitz and Schrodinger solutions, as well as AdS and dS vacua. There is a generalized attractor potential whose critical points are the attractor points, and its extremization explains the algebraic nature of the equations governing both supersymmetric and non-supersymmetric attractors.

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