Tessellating cushions: four-point functions in N$$ \mathcal{N} $$ = 4 SYM
Tessellating cushions: four-point functions in N$$ \mathcal{N} $$ = 4 SYM
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镶嵌垫子： N$$ mathcal{N} $$ = 4 SYM 中的四点函数
DOI：
10.1007/jhep10(2017)098
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发表时间：
2016
影响因子：
5.4
通讯作者：
Alessandro Sfondrini
中科院分区：
文献类型：
--
作者：
B. Eden;Alessandro Sfondrini
本文研究了N$ \mathcal{N} $$ = 4 SYM中一类平面树级四点函数在一种特殊运动状态下的运动学性质：将一个具有两个标量激励的BMN算子和三个半BPS算子放在位形空间中的一条直线上，另外，对于半BPS算子，在味空间中选择一个同动标架.在位形空间中，四穿孔球面自然地被三层平面图三角剖分。我们证明了一些例子，每个瓦片可以与修改后的六边形形状因子，以这种方式，以有效地再现树级四点函数。我们的镶嵌不是OPE类型，培养希望找到一个独立的，基于可积性的方法来计算平面四点函数。
A bstractWe consider a class of planar tree-level four-point functions in N$$ \mathcal{N} $$ = 4 SYM in a special kinematic regime: one BMN operator with two scalar excitations and three half-BPS operators are put onto a line in configuration space; additionally, for the half-BPS operators a co-moving frame is chosen in flavour space. In configuration space, the four-punctured sphere is naturally triangulated by tree-level planar diagrams. We demonstrate on a number of examples that each tile can be associated with a modified hexagon form-factor in such a way as to efficiently reproduce the tree-level four-point function. Our tessellation is not of the OPE type, fostering the hope of finding an independent, integrability-based approach to the computation of planar four-point functions.
AdS/CFT 可集成性回顾：概述
影响因子：
1.2
作者：
Beisert N
通讯作者：
Beisert N