Complex Multiplication Symmetry of Black Hole Attractors

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2003

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Elsevier

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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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Lynker, M., Periwal, V., & Schimmrigk, R. (2003). Complex multiplication symmetry of black hole attractors. Nucl.Phys.B, 667, 484–504.

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