2003/06/07 by Monika Lynker, M. Lynker, Vipul Periwal +4
Mathematics · Physics and Astronomy · Social Sciences · #11R37 #14K22 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Vietnamese History and Culture Studies #hep-th #math-ph #math.AG #math.MP #msc:11R37 #msc:14K22
paper · pdf · doi:10.48550/arxiv.math/0306135
21 pages
arxiv created 2003/06/07 · openalex publication_date 2003/06/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Black holes in string theory compactified on Calabi-Yau varieties a priori might be expected to have moduli dependent features. For example the entropy of the black hole might be expected to depend on the complex structure of the manifold. This would be inconsistent with known properties of black holes. Supersymmetric black holes appear to evade this inconsistency by having moduli fields that flow to fixed points in the moduli space that depend only on the charges of the black hole. Moore observed in the case of compactifications with elliptic curve factors that these fixed points are arithmetic, corresponding to curves with complex multiplication. The main goal of this talk is to explore the possibility of generalizing such a characterization to Calabi-Yau varieties with finite fundamental groups.