N=2 Extremal Black Holes

Abstract

It is shown that extremal magnetic black hole solutions of N = 2 supergravity coupled to vector multiplets $X^{\Lambda }$ with a generic holomorphic prepotential $F(X^{\Lambda })$ can be described as supersymmetric solitons which interpolate between maximally symmetric limiting solutions at spatial infinity and the horizon. A simple exact solution is found for the special case that the ratios of the $X^{\Lambda }$ are real, and it is seen that the logarithm of the conformal factor of the spatial metric equals the Kahler potential on the vector multiplet moduli space. Several examples are discussed in detail.

10 pages, minor corrections

References in corpus (1)

• Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,

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• On Uniqueness of supersymmetric Black holes in AdS(5)
• New Branches of Non-supersymmetric Attractors in N=2 Supergravity
• 4D black holes and holomorphic factorization of the 0A matrix model
• Subttractors
• Non-extremal black holes from the generalised r-map
• Lessons from the Vacuum Structure of 4d N=2 Supergravity
• Spontaneous scalarization in (A)dS gravity at zero temperature
• Duality invariance in Fayet-Iliopoulos gauged supergravity
• Statistical Entropy of Calabi-Yau Black Holes
• BPS jumping loci are automorphic
• The supersymmetric black holes of N=8 supergravity
• D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• Extremal black holes and nilpotent orbits
• Flux Vacua Attractors in Type II on SU(3)xSU(3) Structure
• From Static to Cosmological Solutions of N=2 Supergravity
• Double Horizon Limit, AdS Geometry and Entropy Function
• Sextonions, Zorn Matrices, and ${\mathbf{e}}_{7\frac{1}{2}}$
• First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity
• 10D to 4D Euclidean Supergravity over a Calabi-Yau three-fold
• Stationary $D=4$ Black Holes in Supergravity: The Issue of Real Nilpotent Orbits
• Gravitational Blocks: Symplectic Covariance Unveiled
• Extremal Black Attractors in 8D Maximal Supergravity
• Magic Coset Decompositions
• Mock modularity at work, or black holes in a forest
• Flows of Extremal Attractor Black Holes
• Observations on holographic aspects of four-dimensional asymptotically flat $\mathcal{N}=2$ black holes
• Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• Non-supersymmetric deformation of the Klebanov-Strassler model and the related plane wave theory
• Interpolating between multi-center microstate geometries
• Fermions, Wigs, and Attractors
• Refinement and modularity of immortal dyons
• Hidden Structures of Black Holes
• Black holes in Sol minore
• Ten and eleven dimensional perspectives on N=2 black holes
• Ultracold horizons in gauged N=1 d=4 supergravity
• New Perspectives on Attractor Flows and Trees from CFT
• An approach to BPS black hole microstate counting in an N=2 STU model
• Distributions of extremal black holes in Calabi-Yau compactifications
• Topological Strings, Two-Dimensional Yang-Mills Theory and Chern-Simons Theory on Torus Bundles
• Four-qubit Systems and Dyonic Black Hole-Black Branes in Superstring Theory
• Black holes in supergravity: flow equations and duality
• BPS jumping loci and special cycles
• Quantum entropy of supersymmetric black holes
• Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry
• Quantum Gravity Needs Supersymmetry
• Qubit and Fermionic Fock Spaces from Type II Superstring Black Holes
• Non-Supersymmetric Unattractors in Born-Infeld Black Holes
• The fate of flat directions in higher derivative gravity
• A Kaluza-Klein Subttractor
• State-space geometry, non-extremal black holes and Kaluza-Klein monopoles
• A twist on multicenter AdS${}_2$ solutions
• N=2 Supersymmetry and String-Loop Corrected Magnetic Black Holes
• Supersymmetry and cosmic censorship
• Black hole attractors and U(1) Fayet-Iliopoulos gaugings: analysis and classification
• Multi-Centered Invariants, Plethysm and Grassmannians
• Black Holes and Hurwitz Class Numbers
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• Black holes and balanced metrics
• On the existence of scaling multi-centered black holes
• Dynamics of D-brane Black Holes
• Thermodynamics of Asymptotically Flat Dyonic Black Holes
• Decay channels for double extremal black holes in four dimensions
• Observations on the Holographic Duals of 4-D Extremal Black Holes
• Intersecting Black Attractors in 8D N=1 Supergravity
• Stability of BPS States and Weak Coupling Limits
• Generalized Hot Attractors
• Supersymmetric non-Abelian black holes and monopoles in Einstein-Yang-Mills sugras
• A General Study of Ground States of N=2 Supergravity Theories with Symmetric Scalar Manifolds in 5 Dimensions
• On the Stability of Non-Supersymmetric Quantum Attractors in String Theory
• Half-flat Quantum Hair
• The moduli space of hyper-K{ä}hler four-fold compactifications
• Microstates and near-horizon D-brane probes
• Peccei-Quinn Transformations and Black Holes : Orbit Transmutations and Entanglement Generation
• Special geometry for arbitrary signatures
• Attractor Flows in st^2 Black Holes
• The Weak Gravity Conjecture and BPS Particles
• Attractor Flows from Defect Lines
• Supersymmetric Branes in Generic M-Theory Attractor Geometries
• Abelian Varieties, RCFTs, Attractors, and Hitchin Functional in Two Dimensions
• Stringy Dyonic Solutions and Clifford Structures
• Aspects of Collapsing Cycles
• Attractors are not algebraic
• Entropy of Black Holes in N=2 Supergravity
• Flow Equations In Arbitrary Signature
• New supersymmetric black holes in four dimensional N=2 supergravity
• BPS Black Hole Entropy and Attractors in Very Special Geometry. Cubic Forms, Gradient Maps and their Inversion
• On Intrinsic Geometric Stability of Controller
• Black hole entropy and quantum information
• On Attractor Flow and Small Black Holes
• Extremal black holes, attractor equations, and harmonic functions
• Geometric Design and Stability of Power Networks
• On Symmetries of Extremal Black Holes with One and Two Centers
• Supersymmetry and the Supergravity Landscape
• The Spectrum of Static Subtracted Geometries
• Attractors with Large Complex Structure for One-Parameter Families of Calabi-Yau Manifolds
• On Real Intrinsic Wall Crossings
• Jordan meets Freudenthal. A Black Hole Exceptional Story
• On Issues in Swiss Cheese Compactifications
• Termodinámica de agujeros negros y campos escalares
• Stable Bianchi III attractor in $U(1{)}_R$ gauged supergravity
• No Fermionic Wigs for BPS Attractors in 5 Dimensions
• Gauss-Bonnet Contributions to the Entropy of Extremal Black Holes in the Gauge-Gravity sector
• Gaugings and other aspects in supergravity
• Near-AdS${}_2$ Spectroscopy: classifying the spectrum of operators and interactions in $\mathcal{N}=2$ 4D supergravity
• Contributions of Riemann invariants to the Entropy of Extremal Black Holes
• Non-BPS Black holes in N=4 Supersymmetric Yang-Mills Theory Coupled to Gravity
• Black holes, first-order flow equations and geodesics on symmetric spaces
• Black holes in the Superworld
• Indefinite theta functions for counting attractor backgrounds
• On the Supersymmetry of Bianchi attractors in Gauged supergravity
• Lecture for the Fortieth Anniversary of Supergravity
• Holographic c-Function
• Duality and Combinatorics of Long Strings in ADS3
• Periapsis shift and deflection of light by hairy black holes
• A T-Fold Black Hole in Doubled Type IIB
• Near-horizon behavior of string-loop-corrected dyonic black holes
• Towards the Core of the Quantum Monopole
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• A note on non-linear electrodynamics, regular black holes and the entropy function
• Backreaction I: The Torus
• Higher derivative correction to Kaluza-Klein black hole solution
• Classification of Invariant Differential Operators for Non-Compact Lie Algebras via Parabolic Relations
• Killing Spinors -- Beyond Supergravity