杨对称散射振幅与 N=4 超对称杨-米尔斯理论中的扩张算符。
Yangian Symmetry of Scattering Amplitudes and the Dilatation Operator in N=4 Supersymmetric Yang-Mills Theory.
机构信息
Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom.
Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom.
出版信息
Phys Rev Lett. 2015 Oct 2;115(14):141602. doi: 10.1103/PhysRevLett.115.141602. Epub 2015 Sep 30.
It is known that the Yangian of PSU(2,2|4) is a symmetry of the tree-level S matrix of N=4 super Yang-Mills theory. On the other hand, the complete one-loop dilatation operator in the same theory commutes with the level-one Yangian generators only up to certain boundary terms found by Dolan, Nappi, and Witten. Using a result by Zwiebel, we show how the Yangian symmetry of the tree-level S matrix of N=4 super Yang-Mills theory implies precisely the Yangian invariance, up to boundary terms, of the one-loop dilatation operator.
已知 PSU(2,2|4) 的杨代数是 N=4 超杨-米尔斯理论的树级 S 矩阵的对称性。另一方面，在同一理论中，完整的单圈约化算符仅与 Dolan、Nappi 和 Witten 找到的某些边界项满足一级杨代数生成元的交换关系。利用 Zwiebel 的一个结果，我们展示了 N=4 超杨-米尔斯理论的树级 S 矩阵的杨代数对称性如何精确地暗示了单圈约化算符的杨代数不变性，直到边界项。
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