4.4 Article

Two-loop superstring five-point amplitudes. Part II. Low energy expansion and S-duality

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP02(2021)139

关键词

String Duality; Superstrings and Heterotic Strings; Conformal Field Models in String Theory

资金

  1. NSF [PHY-19-14412]
  2. Royal Society
  3. European Research Council [ERC-STG-804286 UNISCAMP]

向作者/读者索取更多资源

This paper analyzes the effective interactions induced by Type IIB superstrings beyond supergravity, including both U(1)(R)-preserving and U(1)(R)-violating amplitudes. The study shows that the five-point amplitudes require only a single new modular graph function in addition to those needed for the four-point amplitude.
In an earlier paper, we constructed the genus-two amplitudes for five external massless states in Type II and Heterotic string theory, and showed that the alpha ' expansion of the Type II amplitude reproduces the corresponding supergravity amplitude to leading order. In this paper, we analyze the effective interactions induced by Type IIB superstrings beyond supergravity, both for U(1)(R)-preserving amplitudes such as for five gravitons, and for U(1)(R)-violating amplitudes such as for one dilaton and four gravitons. At each order in alpha ', the coefficients of the effective interactions are given by integrals over moduli space of genus-two modular graph functions, generalizing those already encountered for four external massless states. To leading and sub-leading orders, the coefficients of the effective interactions (DR5)-R-2 and (DR5)-R-4 are found to match those of (DR4)-R-4 and (DR4)-R-6, respectively, as required by non-linear supersymmetry. To the next order, a (DR5)-R-6 effective interaction arises, which is independent of the supersymmetric completion of (DR4)-R-8, and already arose at genus one. A novel identity on genus-two modular graph functions, which we prove, ensures that up to order (DR5)-R-6, the five-point amplitudes require only a single new modular graph function in addition to those needed for the four-point amplitude. We check that the supergravity limit of U(1)(R)-violating amplitudes is free of UV divergences to this order, consistently with the known structure of divergences in Type IIB supergravity. Our results give strong consistency tests on the full five-point amplitude, and pave the way for understanding S-duality beyond the BPS-protected sector.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.4
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据