Non-supersymmetric Black Holes and Topological Strings

Abstract

We study non-supersymmetric, extremal 4 dimensional black holes which arise upon compactification of type II superstrings on Calabi-Yau threefolds. We propose a generalization of the OSV conjecture for higher derivative corrections to the non-supersymmetric black hole entropy, in terms of the one parameter refinement of topological string introduced by Nekrasov. We also study the attractor mechanism for non-supersymmetric black holes and show how the inverse problem of fixing charges in terms of the attractor value of CY moduli can be explicitly solved.

47 pages, harvmac. v2: footnote(4) expanded, references added

References in corpus (72)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• N=2 Extremal Black Holes
• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Supersymmetry and Attractors
• Geometric Engineering of Quantum Field Theories
• Black Hole Attractors and the Topological String
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• The Topological Vertex
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Black Holes and Critical Points in Moduli Space
• Universality of Sypersymmetric Attractors
• The Refined Topological Vertex
• Microscopic Formulation of Black Holes in String Theory
• Solitonic Strings and BPS Saturated Dyonic Black Holes
• Topological Amplitudes in String Theory
• Corrections to macroscopic supersymmetric black-hole entropy
• Non-Supersymmetric Attractors
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Exact solutions for supersymmetric stationary black hole composites
• Rotating Attractors
• Precision Counting of Small Black Holes
• Quantum Background Independence In String Theory
• Non-Supersymmetric Attractors in String Theory
• The Symplectic Structure of N=2 Supergravity and its Central Extension
• Arithmetic and Attractors
• Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
• Deformation Quantization: Quantum Mechanics Lives and Works in Phase-Space
• Entropy Function for Heterotic Black Holes
• The Non-BPS Black Hole Attractor Equation
• New Attractors
• Microscopic Entropy of N=2 Extremal Black Holes
• Hartle-Hawking Wave-Function for Flux Compactifications
• Black Hole Microstates and Attractor Without Supersymmetry
• Small Instantons, Little Strings and Free Fermions
• Microstates of a Neutral Black Hole in M Theory
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• Black hole partition functions and duality
• Charge Orbits of Symmetric Special Geometries and Attractors
• String triality, black hole entropy and Cayley's hyperdeterminant
• Seiberg-Witten Theory and Random Partitions
• Two Dimensional Yang-Mills, Black Holes and Topological Strings
• Topological Strings and Nekrasov's formulas
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• On N=8 attractors
• Exact and Asymptotic Degeneracies of Small Black Holes
• New Attractors and Area Codes
• Instanton calculus in R-R background and the topological string
• Exact Attractive Non-BPS STU Black Holes
• alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory
• Attractors and the Holomorphic Anomaly
• On some properties of the Attractor Equations
• Exact Black Hole Degeneracies and the Topological String
• Area law corrections from state counting and supergravity
• On the partition sum of the NS five-brane
• Topological wave functions and heat equations
• New Attractors, Entropy Function and Black Hole Partition Function
• Non-Supersymmetric Attractors in $R^2$ Gravities
• Phase Structure of a Brane/Anti-Brane System at Large N
• 5D Attractors with Higher Derivatives
• Five-dimensional Chern-Simons terms and Nekrasov's instanton counting
• BPS Microstates and the Open Topological String Wave Function
• Extremal non-BPS black holes and entropy extremization
• On the Existence of Non-Supersymmetric Black Hole Attractors for Two-Parameter Calabi-Yau's and Attractor Equations
• Topological M-theory as Unification of Form Theories of Gravity
• A D-Brane Landscape on Calabi-Yau Manifolds
• BPS Supermultiplets in Five Dimensions
• From BPS to Non-BPS Black Holes Canonically
• Deviations from the Area Law for Supersymmetric Black Holes
• Extremal Black Holes in Supergravity
• Partition function of non-supersymmetric black holes in the supergravity limit
• The world-sheet corrections to dyons in the Heterotic theory
• Production of Neutral Fermion in Linear Magnetic Field through Pauli Interaction

Cited by in corpus (45)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Non-Supersymmetric Attractor Flow in Symmetric Spaces
• On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
• The black-hole/qubit correspondence: an up-to-date review
• stu Black Holes Unveiled
• Stationary black holes and attractor mechanism
• Erice Lectures on Black Holes and Attractors
• N=8 non-BPS Attractors, Fixed Scalars and Magic Supergravities
• Are all supergravity theories Yang-Mills squared?
• Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• Attractors with Vanishing Central Charge
• Attractors in Black
• Moduli Stabilization, Large-Volume dS Minimum Without anti-D3-Branes, (Non-)Supersymmetric Black Hole Attractors and Two-Parameter Swiss Cheese Calabi-Yau's
• Effects of brane-flux transition on black holes in string theory
• Two-Center Black Holes Duality-Invariants for stu Model and its lower-rank Descendants
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• Special entangled quantum systems and the Freudenthal construction
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Refined Black Hole Ensembles and Topological Strings
• Quantum Lift of Non-BPS Flat Directions
• Non-Supersymmetric Attractors in BI black holes
• Graph Theory and Qubit Information Systems of Extremal Black Branes
• Intersecting Attractors
• On Quantum Special Kaehler Geometry
• Hitchin functionals are related to measures of entanglement
• A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black Holes
• Metastable Flux Configurations and de Sitter Spaces
• Non-Supersymmetric Attractors in Symmetric Coset Spaces
• Instantons and Wormholes in N=2 supergravity
• SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
• Black hole solutions of N=2, d=4 supergravity with a quantum correction, in the H-FGK formalism
• Spontaneous scalarization in (A)dS gravity at zero temperature
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• Distributions of extremal black holes in Calabi-Yau compactifications
• Decay channels for double extremal black holes in four dimensions
• Intersecting Black Attractors in 8D N=1 Supergravity
• On the Stability of Non-Supersymmetric Quantum Attractors in String Theory
• Attractor Flows in st^2 Black Holes
• On Issues in Swiss Cheese Compactifications
• Generalized q-deformed Correlation Functions as Spectral Functions of Hyperbolic Geometry
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy