scholarly journals CHARGE ORBITS OF SYMMETRIC SPECIAL GEOMETRIES AND ATTRACTORS

2006 ◽  
Vol 21 (25) ◽  
pp. 5043-5097 ◽  
Author(s):  
STEFANO BELLUCCI ◽  
SERGIO FERRARA ◽  
MURAT GÜNAYDIN ◽  
ALESSIO MARRANI
Keyword(s):  
Black Hole ◽  
Critical Points ◽  
Symmetric Spaces ◽  
Central Charge ◽  
Scalar Potential ◽  
Scalar Fields ◽  
Extremal Black Hole ◽  
Kahler Geometry ◽  
Complex Scalar ◽  
Black Hole Background

We study the critical points of the black hole scalar potential V BH in N = 2, d = 4 supergravity coupled to nV vector multiplets, in an asymptotically flat extremal black hole background described by a 2(nV+1)-dimensional dyonic charge vector and (complex) scalar fields which are coordinates of a special Kähler manifold. For the case of homogeneous symmetric spaces, we find three general classes of regular attractor solutions with nonvanishing Bekenstein–Hawking entropy. They correspond to three (inequivalent) classes of orbits of the charge vector, which is in a 2(nV+1)-dimensional representation RV of the U-duality group. Such orbits are nondegenerate, namely they have nonvanishing quartic invariant (for rank-3 spaces). Other than the ½-BPS one, there are two other distinct non-BPS classes of charge orbits, one of which has vanishing central charge. The three species of solutions to the N = 2 extremal black hole attractor equations give rise to different mass spectra of the scalar fluctuations, whose pattern can be inferred by using invariance properties of the critical points of V BH and some group theoretical considerations on homogeneous symmetric special Kähler geometry.

scholarly journals SOME ASPECTS OF SPHERICAL SYMMETRIC EXTREMAL DYONIC BLACK HOLES IN 4D N = 1 SUPERGRAVITY

2013 ◽  
Vol 28 (18) ◽  
pp. 1350084 ◽  
Author(s):  
BOBBY E. GUNARA ◽  
FREDDY P. ZEN ◽  
FIKI T. AKBAR ◽  
AGUS SUROSO ◽  
ARIANTO
Keyword(s):  
Black Hole ◽  
Scalar Potential ◽  
Local Existence ◽  
Scalar Fields ◽  
Asymptotic Region ◽  
De Sitter ◽  
Complex Scalar ◽  
Symmetric Black Hole ◽  
Scalar Potentials ◽  
Nonzero Scalar

In this paper, we study several aspects of extremal spherical symmetric black hole solutions of four-dimensional N = 1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region, the complex scalars are fixed and regular which can be viewed as the critical points of the black hole and the scalar potentials with vanishing scalar charges. It follows that the asymptotic geometries are of a constant and nonzero scalar curvature which are generally not Einstein. These spaces could also correspond to the near horizon geometries which are the product spaces of a two anti-de Sitter surface and the two sphere if the value of the scalars in both regions coincide. In addition, we prove the local existence of nontrivial radius dependent complex scalar fields which interpolate between the horizon and the asymptotic region. We finally give some simple ℂn-models with both linear superpotential and gauge couplings.

scholarly journals Normal-mode analysis for scalar fields in BTZ black-hole background

2009 ◽  
Vol 60 (2) ◽  
pp. 169-173 ◽  
Author(s):  
Sayan K. Chakrabarti ◽  
Pulak Ranjan Giri ◽  
Kumar S. Gupta
Keyword(s):  
Black Hole ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Scalar Fields ◽  
Mode Analysis ◽  
Btz Black Hole ◽  
Black Hole Background

scholarly journals HAWKING RADIATION FOR SCALAR AND DIRAC FIELDS IN FIVE-DIMENSIONAL DILATONIC BLACK HOLE VIA ANOMALIES

2012 ◽  
Vol 21 (03) ◽  
pp. 1250030 ◽  
Author(s):  
RAMÓN BECAR ◽  
P. A. GONZÁLEZ
Keyword(s):  
Black Hole ◽  
Gauge Invariance ◽  
Scalar Fields ◽  
Two Dimensional ◽  
Massive Scalar ◽  
Dimensional Theory ◽  
Dirac Fields ◽  
Black Hole Background ◽  
Planck Distribution ◽  
Dilatonic Black Hole

We study massive scalar fields and Dirac fields propagating in a five-dimensional dilatonic black hole background. We expose that for both fields the physics can be described by a two-dimensional theory, near the horizon. Then, in this limit, by applying the covariant anomalies method we find the Hawking flux by restoring the gauge invariance and the general coordinate covariance, which coincides with the flux obtained from integrating the Planck distribution for fermions.

Entropy of near-extremal rotating charged black holes in four-dimensional supergravity from AdS2/CFT1 correspondence

2014 ◽  
Vol 29 (13) ◽  
pp. 1450079
Author(s):  
Jun-Jin Peng ◽  
Qing-Ping Hu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Central Charge ◽  
Conformal Symmetry ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Charged Black Holes ◽  
Rotating Black Holes ◽  
Cardy Formula ◽  
Asymptotic Symmetries

We study microscopic entropy of the near-extremal rotating black hole in four-dimensional (4D) 𝒩 = 2 supergravity with four charges set pairwise equal from AdS2/CFT1 correspondence. This correspondence is realized in terms of asymptotic symmetries of the AdS2 geometry and a two-dimensional near-horizon effective quantum theory of residual fields from a dimensional reduction proposed by Robinson and Wilczek. We compute the relevant central charge and derive the microscopic entropy of this near-extremal black hole by Cardy formula. Our results can be extended to more general near-extremal rotating black holes in 4D supergravity. They further support the notion that black hole entropy is generally controlled by near-horizon conformal symmetry.

scholarly journals Greybody factors for brane scalar fields in a rotating black hole background

2007 ◽  
Vol 75 (8) ◽  
Author(s):  
S. Creek ◽  
O. Efthimiou ◽  
P. Kanti ◽  
K. Tamvakis
Keyword(s):  
Black Hole ◽  
Scalar Fields ◽  
Rotating Black Hole ◽  
Black Hole Background

scholarly journals SCALAR NONLUMINOUS MATTER IN GALAXIES

2002 ◽  
Vol 17 (04) ◽  
pp. 555-560 ◽  
Author(s):  
BYUNG JOO LEE ◽  
TAE HOON LEE
Keyword(s):  
Rotational Velocity ◽  
Scalar Potential ◽  
Scalar Fields ◽  
Global Symmetry ◽  
Late Time ◽  
Complex Scalar ◽  
Acceleration Of The Universe ◽  
The Universe ◽  
Static Space ◽  
Quintessence Model

As a candidate for dark matter in galaxies, we study an SU(3) triplet of complex scalar fields which are nonminimally coupled to gravity. In the spherically symmetric static space–time where the flat rotational velocity curves of stars in galaxies can be explained, we find simple solutions of scalar fields with SU(3) global symmetry broken to U(1) × U(1), in an exponential scalar potential, which will be useful in a quintessence model of the late-time acceleration of the universe.

scholarly journals ON QUANTUM SPECIAL KÄHLER GEOMETRY

2010 ◽  
Vol 25 (09) ◽  
pp. 1891-1935 ◽  
Author(s):  
STEFANO BELLUCCI ◽  
ALESSIO MARRANI ◽  
RAJU ROYCHOWDHURY
Keyword(s):  
Black Hole ◽  
Sectional Curvature ◽  
General Formula ◽  
Critical Points ◽  
Riemann Tensor ◽  
Leading Order ◽  
Kahler Geometry ◽  
Perturbative Corrections

We compute the effective black hole potential V BH of the most general [Formula: see text], d = 4 (local) special Kähler geometry with quantum perturbative corrections, consistent with axion-shift Peccei–Quinn symmetry and with cubic leading order behavior. We determine the charge configurations supporting axion-free attractors, and explain the differences among various configurations in relations to the presence of "flat" directions of V BH at its critical points. Furthermore, we elucidate the role of the sectional curvature at the nonsupersymmetric critical points of V BH , and compute the Riemann tensor (and related quantities), as well as the so-called E-tensor. The latter expresses the nonsymmetricity of the considered quantum perturbative special Kähler geometry.

scholarly journals Fermions in a Reissner–Nordström–anti-de Sitter black hole background and N = 4 supersymmetry with nontrivial topological charges

2014 ◽  
Vol 29 (25) ◽  
pp. 1450131 ◽  
Author(s):  
V. K. Oikonomou
Keyword(s):  
Black Hole ◽  
Extended Supersymmetry ◽  
Chiral Limit ◽  
Central Charge ◽  
De Sitter ◽  
One Dimensional ◽  
Black Hole Background ◽  
Witten Index ◽  
Topological Charges

We demonstrate that the fermions in Reissner–Nordström–anti-de Sitter black hole background in the chiral limit m = 0, are related to an N = 4 extended one-dimensional supersymmetry with nontrivial topological charges. We also show that the N = 4 extended supersymmetry is unbroken and we extend the two N = 2 one-dimensional supersymmetries that the system also possesses, to have a trivial central charge. The implications of the trivial central charge on the Witten index are also discussed.

scholarly journals BPS black hole entropy and attractors in very special geometry. Cubic forms, gradient maps and their inversion

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Bert van Geemen ◽  
Alessio Marrani ◽  
Francesco Russo
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Inhomogeneous System ◽  
Homogeneous Polynomials ◽  
Quadratic Equations ◽  
Cubic Form ◽  
Black Hole Background ◽  
Cubic Forms ◽  
First Time

Abstract We consider Bekenstein-Hawking entropy and attractors in extremal BPS black holes of $$ \mathcal{N} $$ N = 2, D = 4 ungauged supergravity obtained as reduction of minimal, matter-coupled D = 5 supergravity. They are generally expressed in terms of solutions to an inhomogeneous system of coupled quadratic equations, named BPS system, depending on the cubic prepotential as well as on the electric-magnetic fluxes in the extremal black hole background. Focussing on homogeneous non-symmetric scalar manifolds (whose classification is known in terms of L(q, P, Ṗ) models), under certain assumptions on the Clifford matrices pertaining to the related cubic prepotential, we formulate and prove an invertibility condition for the gradient map of the corresponding cubic form (to have a birational inverse map which is given by homogeneous polynomials of degree four), and therefore for the solutions to the BPS system to be explicitly determined, in turn providing novel, explicit expressions for the BPS black hole entropy and the related attractors as solution of the BPS attractor equations. After a general treatment, we present a number of explicit examples with Ṗ = 0, such as L(q, P), 1 ⩽ q ⩽ 3 and P ⩾ 1, or L(q, 1), 4 ⩽ q ⩽ 9, and one model with Ṗ = 1, namely L(4, 1, 1). We also briefly comment on Kleinian signatures and split algebras. In particular, we provide, for the first time, the explicit form of the BPS black hole entropy and of the related BPS attractors for the infinite class of L(1, P) P ⩾ 2 non-symmetric models of $$ \mathcal{N} $$ N = 2, D = 4 supergravity.

scholarly journals Supersymmetric black holes and Freudenthal duality

2017 ◽  
Vol 32 (19n20) ◽  
pp. 1750114 ◽  
Author(s):  
Alessio Marrani ◽  
Taniya Mandal ◽  
Prasanta K. Tripathy
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Critical Points ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Representation Space ◽  
Black Hole Attractors

We study the effect of Freudenthal duality on supersymmetric extremal black hole attractors in [Formula: see text], [Formula: see text] 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 nontrivial involutory constant matrices. In particular, we consider a supersymmetric [Formula: see text] black hole and we explicitly Freudenthal-map it to a supersymmetric [Formula: see text] black hole. We thus show that the charge representation space of a supersymmetric [Formula: see text] black hole also contains mutually exclusive domains.

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