2007/05/16 by Rolf Schimmrigk
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Geometric and Algebraic Topology #hep-th
paper · pdf · doi:10.1016/j.physletb.2007.08.059
published as Phys.Lett.B655:84-89,2007 · 11 pages
arxiv created 2007/05/16 · openalex publication_date 2007/09/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
In this Letter a previously initiated program to construct space from modular forms on the string worldsheet is applied to mirror symmetry. Predictions of an algebraic mirror construction are confirmed for elliptic curves of Brieskorn–Pham type by showing that the string theoretic modular forms associated to the Hasse–Weil L-series of mirror pairs of such curves are identical.