Department
Physics
Document Type
Article
Publication Date
9-15-2003
Abstract
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.
Journal Title
Nuclear Physics B
Journal ISSN
0550-3213
Volume
667
Issue
3
First Page
484
Last Page
504
Digital Object Identifier (DOI)
10.1016/S0550-3213(03)00454-1
Included in
Cosmology, Relativity, and Gravity Commons, Elementary Particles and Fields and String Theory Commons, Geometry and Topology Commons