On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons.pdf

下载文档

3
0
约5.31万字
约 25页
2017-04-09 发布于江苏
举报
版权申诉
保障服务

On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons.pdf

1、本文档共25页，可阅读全部内容。
2、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。

On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons

a r X i v : h e p - t h / 9 7 0 7 0 1 8 v 5 2 A p r 1 9 9 8 CERN-TH/97-146 CPTH-S539.0697 hep-th/9707018 On R4 threshold corrections in type IIB string theory and (p, q)-string instantons Elias Kiritsis and Boris Pioline? Theory Division, CERN?, CH-1211, Geneva 23, SWITZERLAND ABSTRACT We obtain the exact non-perturbative thresholds of R4 terms in type IIB string theory compactified to eight and seven dimensions. These thresholds are given by the perturbative tree-level and one-loop results together with the contribu- tion of the D-instantons and of the (p, q)-string instantons. The invariance under U -duality is made manifest by rewriting the sum as a non-holomorphic invari- ant modular function of the corresponding discrete U -duality group. In the eight-dimensional case, the threshold is the sum of a order-1 Eisenstein series for SL(2,Z ) and a order-3/2 Eisenstein series for SL(3,Z ). The seven-dimensional result is given by the order-3/2 Eisenstein series for SL(5,Z ). We also conjecture formulae for the non-perturbative thresholds in lower dimensional compactifica- tions and discuss the relation with M-theory. CERN-TH/97-146 CPTH-S539.0697 July 1997 ? On leave from Centre de Physique The?orique, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France. ? e-mail addresses: kiritsis,bpioline@mail.cern.ch. 1 Introduction Important progress has recently been made towards understanding the non-perturbative structure of string theory. Extended supersymmetry implies non-perturbative equivalence between string theories. Quantitative tests, although scarce, can be carried out by computing threshold corrections to specials terms in the effective action, which are “BPS saturated”. Such terms receive perturbative corrections from (at most) a single order in perturbation theory, to which only BPS states contribute. Usually they are related by supersymmetry to anomaly cancelling terms. Moreover, they receive instanton corrections from special instanton configurations t