Generalized Attractor Points in Gauged Supergravity

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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 Schroedinger solutions, as well as AdS and dS vacua. There is a ... continued below

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30 pages

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Kachru, Shamit; /Stanford U., Phys. Dept. /SLAC; Kallosh, Renata; /Stanford U., Phys. Dept.; Shmakova, Marina & /KIPAC, Menlo Park /SLAC /Stanford U., Phys. Dept. August 15, 2011.

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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 Schroedinger 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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30 pages

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  • Journal Name: Phys.Rev.D84:046003,2011

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  • Report No.: SLAC-PUB-14441
  • Grant Number: AC02-76SF00515
  • DOI: 10.2172/1022548 | External Link
  • Office of Scientific & Technical Information Report Number: 1022548
  • Archival Resource Key: ark:/67531/metadc829349

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  • August 15, 2011

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  • May 19, 2016, 3:16 p.m.

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  • Nov. 28, 2016, 6:30 p.m.

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Kachru, Shamit; /Stanford U., Phys. Dept. /SLAC; Kallosh, Renata; /Stanford U., Phys. Dept.; Shmakova, Marina & /KIPAC, Menlo Park /SLAC /Stanford U., Phys. Dept. Generalized Attractor Points in Gauged Supergravity, article, August 15, 2011; United States. (digital.library.unt.edu/ark:/67531/metadc829349/: accessed November 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.