Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-08
Physics
High Energy Physics
High Energy Physics - Theory
11pp. harvmac b mode;v2 adds cross reference
Scientific paper
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 $\CN=4,8$ 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.
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