A modularity test for elliptic mirror symmetry

被引：5
|
作者：
Schimmrigk, Rolf [1 ]
机构：
[1] Indiana Univ S Bend, South Bend, IN 46634 USA
来源：
PHYSICS LETTERS B | 2007年 / 655卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
varieties over finite fields; L-functions; zeta functions; arithmetic varieties; fundamental strings; conformal field theory; compactification;
D O I：
10.1016/j.physletb.2007.08.059
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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. © 2007 Elsevier B.V. All rights reserved.
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页码：84 / 89
页数：6
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