论文标题
封闭和打开的弦振幅的构建块
Building blocks of closed and open string amplitudes
论文作者
论文摘要
在本文中,我们回顾了树级和属属的封闭和开放字符串振幅的构建块之间的各种关系。我们解释说,树级闭合和开放式弦振幅之间的KLT关系来自共形块上的共形相关函数的全体形态分解。我们对$α'$ - 树级闭合字符串振幅的扩展进行了简单的动手评估,显示了系数的特殊单值性质。我们表明,同样的技术也可以在属属中使用,在那里我们提供了新的证据,证明了2分闭合弦振幅系数的单值性质。最后,我们概述了一些开放问题。
In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level closed and open string amplitudes follow from the holomorphic factorisation of conformal correlation functions on conformal blocks. We give a simple hands-on evaluation of the $α'$-expansion of tree-level closed string amplitudes displaying the special single-valued nature of the coefficients. We show that the same techniques can be used also at genus-one, where we give a new proof of the single-valued nature of the coefficients of 2-point closed string amplitudes. We conclude by giving an overview of some open problems.