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arXiv 1306.2501hep-th
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IIB型弦论中R^8项的结构

The structure of the R^8 term in type IIB string theory

Anirban Basu

摘要:

基于IIB型超引力的在壳线性化超空间的结构,我们认为在IIB型弦论的有效作用量中存在一个非BPS 16导数相互作用,其形式为(t_8 t_8 R^4)^2,我们称之为R^8相互作用。它与G^8 R^4相互作用处于同一超多重态。利用KLT关系,我们分析了IIB理论中树型能级8引力子散射振幅的结构,它导致了线性化能级上的R^8相互作用。这涉及到色序多胶子盘振幅的I型理论,它显示了一个复杂的极结构和超越性与各种其他相互作用的分析。对S对偶性的考虑表明,R^8相互作用在单圈和双圈的弦耦合中得到了非解析贡献。除了接收微扰贡献外,我们还证明了在弱耦合展开中,在首阶的一个D-瞬子-反瞬子背景中,R^8相互作用接收到非零贡献。

英文摘要:

Based on the structure of the on-shell linearized superspace of type IIB supergravity, we argue that there is a non--BPS 16 derivative interaction in the effective action of type IIB string theory of the form (t_8 t_8 R^4)^2, which we call the R^8 interaction. It lies in the same supermultiplet as the G^8 R^4 interaction. Using the KLT relation, we analyse the structure of the tree level eight graviton scattering amplitude in the type IIB theory, which leads to the R^8 interaction at the linearized level. This involves an analysis of color ordered multi-gluon disc amplitudes in the type I theory, which shows an intricate pole structure and transcendentality consistent with various other interactions. Considerations of S-duality show that the R^8 interaction receives non-analytic contributions in the string coupling at one and two loops. Apart from receiving perturbative contributions, we show that the R^8 interaction receives a non-vanishing contribution in the one D-instanton-anti-instanton background at leading order in the weak coupling expansion.

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