Complex Multiplication Symmetry of Black Hole Attractors

Details Complex Multiplication Symmetry of Black Hole Attractors Complex Multiplication Symmetry of Black Hole Attractors

2003-03-12

arxiv.org/abs/hep-th/0303111v1

Nucl.Phys.B667:484-504,2003

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

10.1016/S0550-3213(03)00454-1

We show how Moore's observation, in the context of toroidal compactifications in type IIB string theory, concerning the complex multiplication structure of black hole attractor varieties, can be generalized to Calabi-Yau compactifications with finite fundamental groups. This generalization leads to an alternative general framework in terms of motives associated to a Calabi-Yau variety in which it is possible to address the arithmetic nature of the attractor varieties in a universal way via Deligne's period conjecture.

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