Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
arXiv:0710.3559 · doi:10.1088/1126-6708/2008/02/088
Abstract
We study the attractor equations for a quantum corrected prepotential F=t^3+iλ, with λ\in R,which is the only correction which preserves the axion shift symmetry and modifies the geometry. By performing computations in the ``magnetic'' charge configuration, we find evidence for interesting phenomena (absent in the classical limit of vanishing λ). For a certain range of the quantum parameter λwe find a ``separation'' of attractors, i.e. the existence of multiple solutions to the Attractor Equations for fixed supporting charge configuration. Furthermore, we find that, away from the classical limit, a ``transmutation'' of the supersymmetry-preserving features of the attractors takes place when λreaches a particular critical value.
1+24 pages, 11 figures; v2: new section added; v3: change in title, minor updates, published version
References in corpus (62)
- On the Geometry of the String Landscape and the Swampland
- Compactifications of F-Theory on Calabi--Yau Threefolds -- II
- N=2 Extremal Black Holes
- Compactifications of F-Theory on Calabi--Yau Threefolds -- I
- Supersymmetry and Attractors
- Macroscopic Entropy of Extremal Black Holes
- Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
- Black Holes and Critical Points in Moduli Space
- Universality of Sypersymmetric Attractors
- Black Hole Entropy Function, Attractors and Precision Counting of Microstates
- Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
- Non-Supersymmetric Attractors
- Rotating Attractors
- Second-Quantized Mirror Symmetry
- Lectures on Supersymmetry Breaking
- Flow Equations for Non-BPS Extremal Black Holes
- Non-Supersymmetric Attractors in String Theory
- The Symplectic Structure of N=2 Supergravity and its Central Extension
- Entropy Function for Heterotic Black Holes
- Classical and quantum N=2 supersymmetric black holes
- The Non-BPS Black Hole Attractor Equation
- New Attractors
- First-order flow equations for extremal black holes in very special geometry
- Branes, central charges and U-duality invariant BPS conditions
- Charge Orbits of Symmetric Special Geometries and Attractors
- Non-supersymmetric Meta-Stable vacua in SU(N) SQCD with adjoint matter
- On N=8 attractors
- On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
- New Attractors and Area Codes
- First Order Description of Black Holes in Moduli Space
- Exact Attractive Non-BPS STU Black Holes
- Stationary black holes and attractor mechanism
- On some properties of the Attractor Equations
- Non-Supersymmetric Attractors and Entropy Function
- Exact Gravitational Threshold Correction in the FHSV Model
- N=8 non-BPS Attractors, Fixed Scalars and Magic Supergravities
- A C-Function For Non-Supersymmetric Attractors
- Supersymmetric Multiple Basin Attractors
- An N=2 Dual Pair and a Phase Transition
- New Attractors, Entropy Function and Black Hole Partition Function
- Non-supersymmetric Black Holes and Topological Strings
- Attractors and Arithmetic
- Non-Supersymmetric Attractors in Gravities
- 4d/5d Correspondence for the Black Hole Potential and its Critical Points
- Critical points of the Black-Hole potential for homogeneous special geometries
- Non-BPS Attractors in 5d and 6d Extended Supergravity
- Attractors with Vanishing Central Charge
- Black-Hole Attractors in N=1 Supergravity
- Black hole entropy functions and attractor equations
- N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
- Critical Points and Phase Transitions in 5D Compactifications of M-Theory
- New attractor mechanism for spherically symmetric extremal black holes
- Extremal non-BPS black holes and entropy extremization
- Black Hole Attractors and Pure Spinors
- On the Existence of Non-Supersymmetric Black Hole Attractors for Two-Parameter Calabi-Yau's and Attractor Equations
- Attractor Horizon Geometries of Extremal Black Holes
- On The Stability of Non-Supersymmetric Attractors in String Theory
- Non-supersymmetric Attractors in Born-Infeld Black Holes with a Cosmological Constant
- The Attractor Mechanism in Gauss-Bonnet Gravity
- On the dyon partition function in N=2 theories
- On the Uniqueness of Black Hole Attractors
- Black Hole Attractors in Extended Supergravity
Cited by in corpus (23)
- stu Black Holes Unveiled
- Erice Lectures on Black Holes and Attractors
- First Order Description of D=4 static Black Holes and the Hamilton-Jacobi equation
- d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
- Extremal Black Hole and Flux Vacua Attractors
- Holographic RG flow dual to attractor flow in extremal black holes
- Attractors in Black
- Integrability of Supergravity Black Holes and New Tensor Classifiers of Regular and Nilpotent Orbits
- Quantum Lift of Non-BPS Flat Directions
- On Quantum Special Kaehler Geometry
- BPS and non BPS 7D Black Attractors in M-Theory on K3
- A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black Holes
- Topics in Cubic Special Geometry
- Quantum black holes in Type-IIA String Theory
- Multiple Single-Centered Attractors
- Black hole solutions of N=2, d=4 supergravity with a quantum correction, in the H-FGK formalism
- SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
- First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity
- On the Stability of Non-Supersymmetric Quantum Attractors in String Theory
- Attractor Flows in st^2 Black Holes
- Attractors with Large Complex Structure for One-Parameter Families of Calabi-Yau Manifolds
- Non-Supersymmetric Stringy Attractors
- On Real Intrinsic Wall Crossings