Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator
Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator
复制标题
闭合超弦振幅、单值多 zeta 值和 Deligne 关联器
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
S. Stieberger
中科院分区：
文献类型：
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作者：
S. Stieberger
我们重新讨论了树级闭超弦振幅，并将其α′展开式确定为系数为单值多zeta值的级数.后者代表了一个子类的多个zeta值起源于单值的多个多面体在团结。此外，闭超弦振幅的α′展开可以被转换成与开超弦振幅相同的代数形式：闭超弦振幅本质上是开超弦振幅的单值版本。这一事实表明，规范振幅和引力振幅之间的联系比Kawai-Lewellen-Tye关系所暗示的更深。此外，我们认为Deligne结合子携带了闭超弦振幅的相关信息。特别是，我们给出了一个明确的表示的Deligne结合子的Gamma函数模平方的基础李代数的结合子。这种形式的结合子可以解释为四点闭超弦振幅。
We revisit the tree-level closed superstring amplitude and identify its α′-expansion as series with single-valued multiple zeta values as coefficients. The latter represent a subclass of multiple zeta values originating from single-valued multiple polylogarithms at unity. Moreover, the α′-expansion of the closed superstring amplitude can be cast into the same algebraic form as the open superstring amplitude: the closed superstring amplitude is essentially the single-valued version of the open superstring amplitude. This fact points to a deeper connection between gauge and gravity amplitudes than is implied by Kawai–Lewellen–Tye relations. Furthermore, we argue that the Deligne associator carries the relevant information on the closed superstring amplitude. In particular, we give an explicit representation of the Deligne associator in terms of Gamma functions modulo squares of commutators of the underlying Lie algebra. This form of the associator can be interpreted as the four-point closed superstring amplitude.
影响因子：
3.5
作者：
Mehmet Akyol;Georgios Papadopoulos
通讯作者：
Mehmet Akyol;Georgios Papadopoulos