Equidistribution rates, closed string amplitudes, and the Riemann hypothesis

被引：4

作者：

Cacciatori, Sergio L. ^{[1
,2
]}

Cardella, Matteo ^{[3
,4
]}

机构：

[1] Univ Insubria, Dept Math & Phys, I-22100 Como, Italy

[2] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy

[3] Univ Milano Bicocca, Dept Phys, I-20126 Milan, Italy

[4] Erwin Schrodinger Int Inst Math Phys, A-1090 Vienna, Austria

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 12期

关键词：

Differential and Algebraic Geometry; Superstrings and Heterotic Strings; MODULAR-FORMS; 2-LOOP SUPERSTRINGS; ASYZYGIES; ORBITS; GENUS;

D O I：

10.1007/JHEP12(2010)025

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study asymptotic relations connecting unipotent averages of Sp(2g, Z) automorphic forms to their integrals over the moduli space of principally polarized abelian varieties. We obtain reformulations of the Riemann hypothesis as a class of problems concerning the computation of the equidistribution convergence rate in those asymptotic relations. We discuss applications of our results to closed string amplitudes. Remarkably, the Riemann hypothesis can be rephrased in terms of ultraviolet relations occurring in perturbative closed string theory.

引用

页数：15

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