D6R4 curvature corrections, modular graph functions and Poincaré series
D6R4 curvature corrections, modular graph functions and Poincaré series
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D6R4 曲率校正、模块化图形函数和庞加莱级数
DOI：
10.1007/jhep05(2018)194
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发表时间：
2018
影响因子：
5.4
通讯作者：
A. Kleinschmidt
中科院分区：
文献类型：
--
作者：
O. Ahlén;A. Kleinschmidt
本文研究了紧致环面上IIB型弦理论中四重力子散射振幅的高曲率修正的U-对偶不变系数函数。主要集中在已知满足非齐次拉普拉斯方程的D6R4项。我们提出了一种用Poincaré级数形式求解该方程的新方法，恢复了D=10维上的已知结果，并在D<；10维上找到了新的结果。我们还将该方法应用于模图函数，因为它们是由闭合超弦单圈振幅产生的。
A bstractIn this note we study the U-duality invariant coefficient functions of higher curvature corrections to the four-graviton scattering amplitude in type IIB string theory compactified on a torus. The main focus is on the D6R4 term that is known to satisfy an inhomogeneous Laplace equation. We exhibit a novel method for solving this equation in terms of a Poincaré series ansatz and recover known results in D = 10 dimensions and find new results in D < 10 dimensions. We also apply the method to modular graph functions as they arise from closed superstring one-loop amplitudes.
影响因子：
5.4
作者：
K. Agashe;J. Collins;P. Du;Sungwoo Hong;Doojin Kim;Rashmish K. Mishra
通讯作者：
K. Agashe;J. Collins;P. Du;Sungwoo Hong;Doojin Kim;Rashmish K. Mishra