TY - JOUR
T1 - BPS black holes, quantum attractor flows, and automorphic forms
AU - Gunaydin, Murat
AU - Neitzke, Andrew
AU - Pioline, Boris
AU - Waldron, Andrew
PY - 2006
Y1 - 2006
N2 - 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 three dimensions. Inspired by the equivalence between the four-dimensional attractor flow and geodesic flow on the three-dimensional scalar manifold, we radially quantize stationary, spherically symmetric BPS geometries. Connections between the topological string amplitude, attractor wave function, the Ooguri-Strominger-Vafa conjecture and the theory of automorphic forms suggest that black hole degeneracies are counted by Fourier coefficients of modular forms for the three-dimensional U-duality group, associated to special unipotent representations which appear in the supersymmetric Hilbert space of the quantum attractor flow.
AB - 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 three dimensions. Inspired by the equivalence between the four-dimensional attractor flow and geodesic flow on the three-dimensional scalar manifold, we radially quantize stationary, spherically symmetric BPS geometries. Connections between the topological string amplitude, attractor wave function, the Ooguri-Strominger-Vafa conjecture and the theory of automorphic forms suggest that black hole degeneracies are counted by Fourier coefficients of modular forms for the three-dimensional U-duality group, associated to special unipotent representations which appear in the supersymmetric Hilbert space of the quantum attractor flow.
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U2 - 10.1103/PhysRevD.73.084019
DO - 10.1103/PhysRevD.73.084019
M3 - Article
AN - SCOPUS:33646368143
SN - 1550-7998
VL - 73
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 8
M1 - 084019
ER -