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

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
{"title":"Genus-zero and genus-one string amplitudes and special multiple zeta values","authors":"D. Zagier, Federico Zerbini","doi":"10.4310/cntp.2020.v14.n2.a4","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":55616,"journal":{"name":"Communications in Number Theory and Physics","volume":" ","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2019-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Number Theory and Physics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cntp.2020.v14.n2.a4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 29

Abstract

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.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
亏格零和亏格一弦振幅与特殊多重ζ值
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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Communications in Number Theory and Physics
Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.70
自引率
5.30%
发文量
8
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.
期刊最新文献
The cosmic Galois group, the sunrise Feynman integral, and the relative completion of $\Gamma^1(6)$ Vector spaces of generalized Euler integrals Witten–Reshetikhin–Turaev invariants and homological blocks for plumbed homology spheres Quantum KdV hierarchy and quasimodular forms Colored Bosonic models and matrix coefficients
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1