亏格零和亏格一弦振幅与特殊多重ζ值

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2019-06-28 DOI:10.4310/cntp.2020.v14.n2.a4

D. Zagier, Federico Zerbini

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引用次数: 29

摘要

在这篇文章中，我们证明了在微扰弦理论中，亏格一对形式两点振幅的贡献可以与亏格零对四点振幅的贡献有关。这是通过研究作为振幅系数出现的多个ζ值的特殊线性组合来实现的。我们还利用我们的结果，使用Brown的单值投影将闭字符串与亏格一的开字符串联系起来，证明了Broedel、Schlotter和第二作者的猜想。

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Genus-zero and genus-one string amplitudes and special multiple zeta values

In this paper we show that in perturbative string theory the genus-one contribution to formal 2-point amplitudes can be related to the genus-zero contribution to 4-point amplitudes. This is achieved by studying special linear combinations of multiple zeta values that appear as coefficients of the amplitudes. We also exploit our results to relate closed strings to open strings at genus one using Brown's single-valued projection, proving a conjecture of Broedel, Schlotterer and the second author.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.