Multiple single-centered attractors

Dominic, Pramod; Mandal, Taniya; Tripathy, Prasanta Kumar

doi:10.1007/jhep12(2014)158

Cited by 7 publications

(6 citation statements)

References 54 publications

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“…Most of the results found in the literature are in the context of ungauged supergravity, without cosmological constant and without scalar potential; they have been usually associated to non-homogeneous scalar manifolds (see e.g. [24][25][26][27][28]), even if recent discoveries of multiple attractors [29,30] seem to hold more in general. In our case, however, the basins of attraction appear in the spacetimes with non-vanishing Λ and with a scalar potential.…”

Section: Hairy Extremal Black Hole and The Critical Pointmentioning

confidence: 99%

Extremal black holes, Stueckelberg scalars and phase transitions

Marrani

Mišković

Leon

2018

J. High Energ. Phys.

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Abstract:We calculate the entropy of a static extremal black hole in 4D gravity, nonlinearly coupled to a massive Stueckelberg scalar. We find that the scalar field does not allow the black hole to be magnetically charged. We also show that the system can exhibit a phase transition due to electric charge variations. For spherical and hyperbolic horizons, the critical point exists only in presence of a cosmological constant, and if the scalar is massive and non-linearly coupled to electromagnetic field. On one side of the critical point, two extremal solutions coexist: Reissner-Nordström (A)dS black hole and the charged hairy (A)dS black hole, while on the other side of the critical point the black hole does not have hair. A near-critical analysis reveals that the hairy black hole has larger entropy, thus giving rise to a zero temperature phase transition. This is characterized by a discontinuous second derivative of the entropy with respect to the electric charge at the critical point. The results obtained here are analytical and based on the entropy function formalism and the second law of thermodynamics.

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Section: Hairy Extremal Black Hole and The Critical Pointmentioning

confidence: 99%

Extremal black holes, Stueckelberg scalars and phase transitions

Marrani

Mišković

Leon

2018

J. High Energ. Phys.

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“…To reconstruct the physical fields from the functions I M we need to solve the stabilization equations, a.k.a. Freudenthal duality equations, which give the components of the Freudenthal dual 19Ĩ M (I) in terms of the functions I M [64]; these relations completely characterize the model of N = 2, d = 4 supergravity, but they may be not unique [65,66]. Equivalently, theĨ M (I) can be derived from a homogeneous function of degree 2 called the Hesse potential, W (I), as [29,67,69]…”

Section: Jhep10(2017)066mentioning

confidence: 99%

Dyonic black holes at arbitrary locations

Meessen

Ortı́n

Ramírez

2017

J. High Energ. Phys.

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We construct and study stationary, asymptotically flat multicenter solutions describing regular black holes with non-Abelian hair (colored magnetic-monopole and dyon fields) in two models of N = 2, d = 4 Super-Einstein-Yang-Mills theories: the quadratic model CP 3 and the cubic model ST [2,6], which can be embedded in 10-dimensional Heterotic Supergravity. These solutions are based on the multicenter dyon recently discovered by one of us, which solves the SU(2) Bogomol'nyi and dyon equations on E 3 . In contrast to the well-known Abelian multicenter solutions, the relative positions of the non-Abelian black-hole centers are unconstrained. We study necessary conditions on the parameters of the solutions that ensure the regularity of the metric. In the case of the CP 3 model we show that it is enough to require the positivity of the "masses" of the individual black holes, the finiteness of each of their entropies and their superadditivity. In the case of the ST [2, 6] model we have not been able to show that analogous conditions are sufficient, but we give an explicit example of a regular solution describing thousands of non-Abelian dyonic black holes in equilibrium at arbitrary relative positions. We also construct non-Abelian solutions that interpolate smoothly between just two aDS 2 ×S 2 vacua with different radii (dumbbell solutions).

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“…In this case, multiplicity arises due to the presence of disjoint branches in the moduli space [6] (thus being consistent with the uniqueness results of [7]). Using the correspondence between 4D/5D critical points [8], the analysis has been reduced to four dimensions and it has been shown that a five-dimensional multiple supersymmetric attractor leads to one supersymmetric and one non-supersymmetric critical point in four dimensions [9]. While in D = 4 the supersymmetric attractor is proved to be unique [10], there exist multiple non-supersymmetric attractors with the same charge configurations, the same entropy and the same number of zero modes to the mass matrix (massless Hessian modes); it is puzzling to note that such multiple solutions exist also when the moduli space is connected [9].…”

Section: Introductionmentioning

confidence: 99%

“…Using the correspondence between 4D/5D critical points [8], the analysis has been reduced to four dimensions and it has been shown that a five-dimensional multiple supersymmetric attractor leads to one supersymmetric and one non-supersymmetric critical point in four dimensions [9]. While in D = 4 the supersymmetric attractor is proved to be unique [10], there exist multiple non-supersymmetric attractors with the same charge configurations, the same entropy and the same number of zero modes to the mass matrix (massless Hessian modes); it is puzzling to note that such multiple solutions exist also when the moduli space is connected [9]. By introducing particular involutory constant matrices (generally depending on the geometry of the moduli space), in [10] it has been also shown that the representation space of e.m. charges of four dimensional supersymmetric black holes with non-vanishing axions contains mutually exclusive domains, and inside each domain the attractor is unique.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric black holes and Freudenthal duality

Marrani

Mandal

Tripathy

2017

Int. J. Mod. Phys. A

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We study the effect of Freudenthal duality on supersymmetric extremal black hole attractors in N = 2, D = 4 ungauged supergravity. Freudenthal duality acts on the dyonic black hole charges as an anti-involution which keeps the black hole entropy and the critical points of the effective black hole potential invariant. We analyze its effect on the recently discovered distinct, mutually exclusive phases of axionic supersymmetric black holes, related to the existence of non-trivial involutory constant matrices. In particular, we consider a supersymmetric D0 − D4 − D6 black hole and we explicitly Freudenthal-map it to a supersymmetric D0 − D2 − D4 − D6 black hole. We thus show that the charge representation space of a supersymmetric D0 − D2 − D4 − D6 black hole also contains mutually exclusive domains.

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Multiple single-centered attractors

Cited by 7 publications

References 54 publications

Extremal black holes, Stueckelberg scalars and phase transitions

Extremal black holes, Stueckelberg scalars and phase transitions

Dyonic black holes at arbitrary locations

Supersymmetric black holes and Freudenthal duality

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