Attractors with Large Complex Structure for One-Parameter Families of Calabi-Yau Manifolds
arXiv:2104.02718 · doi:10.1007/JHEP11(2021)032
Abstract
The attractor equations for an arbitrary one-parameter family of Calabi-Yau manifolds are studied in the large complex structure region. These equations are solved iteratively, generating what we term an N-expansion, which is a power series in the Gromov-Witten invariants of the manifold. The coefficients of this series are associated with integer partitions. In important cases we are able to find closed-form expressions for the general term of this expansion. To our knowledge, these are the first generic solutions to attractor equations that incorporate instanton contributions. In particular, we find a simple closed-form formula for the entropy associated to rank two attractor points, including those recently discovered. The applications of our solutions are briefly discussed. Most importantly, we are able to give an expression for the Wald entropy of black holes that includes all genus 0 instanton corrections.
arXiv commentv2: typos corrected, references added
References in corpus (28)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Black Hole Entropy is Noether Charge
- N=2 Extremal Black Holes
- Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
- Supersymmetry and Attractors
- Black Hole Entropy in M-Theory
- Macroscopic Entropy of Extremal Black Holes
- Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
- Black Hole Entropy Function, Attractors and Precision Counting of Microstates
- Supergravity flows and D-brane stability
- Topological Amplitudes in String Theory
- Corrections to macroscopic supersymmetric black-hole entropy
- Split States, Entropy Enigmas, Holes and Halos
- Quantum Quivers and Hall/Hole Halos
- Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
- Classical and quantum N=2 supersymmetric black holes
- Split attractor flows and the spectrum of BPS D-branes on the Quintic
- Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds
- Area law corrections from state counting and supergravity
- The M5-Brane Elliptic Genus: Modularity and BPS States
- Perturbative Corrections to Kahler Moduli Spaces
- A One Parameter Family of Calabi-Yau Manifolds with Attractor Points of Rank Two
- Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
- Entropy of N=2 black holes and their M-brane description
- Examples of M5-Brane Elliptic Genera
- Quantum Lift of Non-BPS Flat Directions
- The elliptic genus from split flows and Donaldson-Thomas invariants
- Topics in Cubic Special Geometry