# Quantum Attractor Flows

@article{Gunaydin2007QuantumAF, title={Quantum Attractor Flows}, author={Murat Gunaydin and Andrew Neitzke and Boris Pioline and Andrew Waldron}, journal={Journal of High Energy Physics}, year={2007}, volume={2007}, pages={056-056} }

Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a holographic correspondence in the mini-superspace approximation, we study the radial quantization of stationary, spherically symmetric black holes in four dimensions. A key ingredient is the classical equivalence between the radial evolution equation and geodesic motion of a fiducial particle on the moduli space M*3 of the three-dimensional theory after reduction along the time direction. In the case of N = 2…

## 77 Citations

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### The Attractor Mechanism - ReadingSample

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We report on recent results in the study of extremal black hole attractors in N D 2, d D 4 ungauged Maxwell–Einstein supergravities. For homogeneous symmetric scalar manifolds, the three general…

### N = 4 BPS black holes and octonionic twistors

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- 2008

Stationary, spherically symmetric solutions of = 2 supergravity in 3+1 dimensions have been shown to correspond to holomorphic curves on the twistor space of the quaternionic-Kahler space which…

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### Chapter 1 SAM Lectures on Extremal Black Holes in d D 4 Extended Supergravity

- Physics, Mathematics
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We report on recent results in the study of extremal black hole attractors inN D 2,d D4 ungauged Maxwell-Einstein supergravities. For homogeneous symmetric scalar manifolds, the three general classes…

### Universal BPS structure of stationary supergravity solutions

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We study asymptotically flat stationary solutions of four-dimensional supergravity theories via the associated G/H ∗ pseudo-Riemannian non-linear sigma models in three spatial dimensions. The Noether…

### Lectures on black holes, topological strings and quantum attractors

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In these lecture notes, we review some recent developments on the relation between the macroscopic entropy of four-dimensional BPS black holes and the microscopic counting of states, beyond the…

## References

SHOWING 1-10 OF 98 REFERENCES

### BPS black holes, quantum attractor flows and automorphic forms

- Mathematics
- 2006

We propose a program for counting microstates of four-dimensional BPS black holes in N{>=}2 supergravities with symmetric-space valued scalars by exploiting the symmetries of timelike reduction to…

### Twistors and black holes

- Mathematics
- 2007

Motivated by black hole physics in N=2, D=4 supergravity, we study the geometry of quaternionic-Kahler manifolds M obtained by the c-map construction from projective special Kahler manifolds M_s.…

### Two Dimensional Yang-Mills, Black Holes and Topological Strings

- Mathematics
- 2004

We show that topological strings on a class of non-compact Calabi-Yau threefolds is equivalent to two dimensional bosonic U(N) Yang-Mills on a torus. We explain this correspondence using the recent…

### BPS black hole degeneracies and minimal automorphic representations

- Mathematics, Physics
- 2005

We discuss the degeneracies of 4D and 5D BPS black holes in toroidal compactifications of M-theory or type-II string theory, using U-duality as a tool. We generalize the 4D/5D lift to include all…

### Lectures on black holes, topological strings and quantum attractors

- Physics
- 2006

In these lecture notes, we review some recent developments on the relation between the macroscopic entropy of four-dimensional BPS black holes and the microscopic counting of states, beyond the…

### Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings

- Physics, Mathematics
- 2005

### Topological wave functions and heat equations

- Mathematics
- 2006

It is generally known that the holomorphic anomaly equations in topological string theory reflect the quantum mechanical nature of the topological string partition function. We present two new…

### Attractors and the Holomorphic Anomaly

- Mathematics
- 2004

Motivated by the recently proposed connection between N=2 BPS black holes and topological strings, I study the attractor equations and their interplay with the holomorphic anomaly equation. The…

### Supersymmetric states of N=4 Yang-Mills from giant gravitons

- Mathematics
- 2006

Mikhailov has constructed an infinite family of 1 BPS D3-branes in AdS5 × S 5 . We regulate Mikhailov's solution space by focussing on finite dimensional submani- folds. Our submanifolds are…

### Fermions from half-BPS supergravity

- Physics
- 2005

We discuss collective coordinate quantization of the half-BPS geometries of Lin, Lunin and Maldacena [1]. The LLM geometries are parameterized by a single function u on a plane. We treat this…