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.
Nuclear Physics B
Digital Object Identifier (DOI)
Lynker M, Periwal V, Schimmrigk R. 2003. Complex multiplication symmetry of black hole attractors. Nucl Phys B 667(3):484-504.