Complex multiplication symmetry of black hole attractors Original Research Article

We show how Mooreʹs 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 Deligneʹs period conjecture.