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Attractors and Arithmetic
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abstract
We consider attractor varieties arising in the construction of dyonic black holes in Calabi-Yau compactifications of IIB string theory. We show that the attractor varieties are constructed from products of elliptic curves with complex multiplication for $\mathcal{N}=4,8$ compactifications. The heterotic dual theories are related to rational conformal field theories. The emergence of curves with complex multiplication suggests many interesting connections between arithmetic and string theory. This paper is a brief overview of a longer companion paper entitled ``Arithmetic and Attractors,'' hep-th/9807087.
Forward citations
Cited by 3 Pith papers
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Ramp, Plateau, and Wormholes without Averaging, and Hyper-non-perturbative Structures in Gravity
Smooth filter projection of erratic spectral data reproduces random-matrix ramp and plateau in a single chaotic system, and predicts double-exponential hyper-nonperturbative effects in holographic gravity.
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Classical Black Hole Probes of UV Scales
Minimal classical BPS black holes in string compactifications track the species or KK scale in infinite-distance limits, and violations may signal inconsistent EFTs.
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On the classification of duality defects in $c=2$ compact boson CFTs with a discrete group orbifold
The self-duality condition that produces duality defects in c=2 compact boson CFTs is reformulated as quadratic equations whose integer solutions can be exhaustively enumerated for almost all points in the moduli space.
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