Non-supersymmetric attractors

By K. Goldstein, Norihiro Iizuka, Rudra P. Jena, S. Trivedi. 2005

307 citations recorded by the source corpus.

We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black holes. Two conditions are sufficient for this, they are conveniently stated in terms of an effective potential involving the scalars and the charges carried by the black hole. Our analysis applies to black holes in theories with ${\cal N} \le 1$ supersymmetry, as well as non-supersymmetric black holes in theories with ${\cal N} = 2$ supersymmetry. Similar results are also obtained for extremal black holes in asymptotically Anti-de Sitter space and in higher dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7512caed96e8a54a40c7a929efc07b3abafdb4b6

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Citations in the corpus

Holography of charged dilaton black holes (2009, methodology): “Some references on attractors without supersymmetry are [18, 19, 20, 21, 22].”
AdS dyonic black hole and its thermodynamics (2013, methodology): “in the extremal limit can be derived from the attractor mechanism [9], which is analogous to the procedure for supersymmetric solutions.”
Flow equations for non-BPS extremal black holes (2007, background): “However it is known that there exist also non-BPS extremal black holes, and that an attractor behaviour can be found also for these solutions, when perturbatively stable [5, 6].”
Large rotating AdS black holes from fluid mechanics (2007, methodology): “As an application of this observation, let us recall the suggestion [31–33] that the attractor mechanism for black holes implies the non-renormalisation of the entropy of all extremal configurations, as a function of the ’t Hooft coupling λ.”
The Non-BPS black hole attractor equation (2006, background): “5.1 Large Volume Calabi-Yau in the Absence of D6-brane 15 5.2 An Example of the Non-BPS Double-extremal Black Hole 19 5.3 Mirror Quintic 21”
Black hole partition functions and duality (2006, background): “For black holes whose area vanishes classically, there remain discrepancies at the semiclassical level and beyond, the nature of which is not fully understood at present.”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “Some references pertaining to the attractor mechanism are, [26], [41], [42], [43], [44], and more recently [45].”
Black hole entropy function, attractors and precision counting of microstates (2007, background): “For a general two derivative theory this issue has been addressed in [28] where it was shown that such a solution exists provided the matrix of second derivatives of the entropy function with respect to the scalar field values at the horizon is positive definite at the extremum of the entropy functi”
Holography of dyonic dilaton black branes (2010, background): “The equations of motion for the system can be obtained following section 6 of [24].”
Lectures on Black Holes and the AdS3/CFT2 Correspondence (2006, background): “14 A related observation is that the attractor mechanism, which plays an important role in establishing a near horizon AdS3 geometry, can also operate for non-supersymmetric black holes [65].”
Black hole microstates and attractor without supersymmetry (2006, methodology): “We use the notation of [22] and consider a theory with a lagrangian density of the form”
Lectures on black holes, topological strings and quantum attractors (2006, background): “xist non-perturbative decay processes whereby an extremal black hole may break into smaller ones. The subject of non-supersymmetric extremal black holes has become of much interest recently, see e.g. [13, 14, 15, 16, 17, 18, 19]. Exercise 2 Show that if black hole of mass and charge (M,Q) breaks up ”
Rotating Attractors (2006, background): “This in turn requires that ~u0 be an extremum of Veff (~u0, ~q, ~p) as in [4].”
Charge Orbits of Symmetric Special Geometries and Attractors (2006, background): “In recent months (N = 2 non-BPS) non-supersymmetric extremal black hole attractors have been studied in the literature [15]-[25], also in the case of non-homogeneous (and non-symmetric) special Kähler manifolds, e.”