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arXiv 2602.19979hep-th
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五点型IIA弦幅值的一阶修正

Five-point Type IIB String Amplitudes at One Loop

Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)(马克斯·普朗克引力物理研究所(爱因斯坦研究所));School of Physics & Astronomy, University of Southampton(南安普顿大学物理与天文学院)

Emiel Claasen, Mehregan Doroudiani

AI总结:

本文计算了IIA超弦在一阶近似下的五点幅值,揭示了模依赖耦合在不同电荷扇区中的结构及丰富的算术特性。

摘要:

无质量的IIA超弦幅值按照外部状态的数量及其在IIA超引力的R对称性下的U(1)电荷进行组织。在本工作中,我们分析了一阶五点幅值在所有电荷扇区中的低能展开,重点研究涉及五个重子和四个重子加一个稀释子的过程。我们计算了IIA有效作用中模依赖耦合在D^{12}R^5和D^{14}ϕR^4相互作用项中的贡献。结果与每个电荷扇区中的S对称性约束一致,并表现出丰富的算术结构,包括单值多重zeta值、黎曼zeta函数在奇数整数处的对数导数的仿射线性组合,以及一个目前未知性质的新常数。

英文摘要:

Massless type IIB superstring amplitudes are organized according to the number of external states and their ${\mathrm U}(1)$ charge under the R-symmetry of type IIB supergravity. In this work, we analyze the low-energy expansion of one-loop five-point amplitudes in all charge sectors, focusing on the representative processes involving five gravitons and four gravitons with one dilaton. We compute the one-loop contributions to the moduli-dependent couplings in the type IIB effective action up to the $D^{12}R^5$ and $D^{14}ϕR^4$ interactions. The results are consistent with $S$-duality constraints in every charge sector and exhibit rich arithmetic structure, including single-valued multiple zeta values, affine linear combinations of logarithmic derivatives of the Riemann zeta function at odd integers, and a new constant of currently unknown nature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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