The magnon kinematics of the AdS/CFT correspondence
The magnon kinematics of the AdS/CFT correspondence
复制标题
AdS/CFT 对应的磁振子运动学
DOI：
--
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
R. Hernández
中科院分区：
文献类型：
--
作者：
César Gómez;R. Hernández
N = 4超对称Yang-Mills的平面伸缩算子是长度允许波动的可积自旋链的哈密顿量。我们将确定平面N = 4杨-米尔斯的长度波动的动力学与存在一个交换的Hopf代数Z对称与非平凡的共乘和对极。这个霍普夫代数的缠绕条件将限制允许的磁振子不代表那些导致磁振子色散关系。我们将讨论磁振子运动学和Z谱上的交叉对称性。我们还考虑了以Z为中心的Hopf代数的一般性质，并讨论了巨磁振子半经典区。
The planar dilatation operator of N = 4 supersymmetric Yang-Mills is the hamiltonian of an integrable spin chain whose length is allowed to fluctuate. We will identify the dynamics of length fluctuations of planar N = 4 Yang-Mills with the existence of an abelian Hopf algebra Z symmetry with non-trivial co-multiplication and antipode. The intertwiner conditions for this Hopf algebra will restrict the allowed magnon irreps to those leading to the magnon dispersion relation. We will discuss magnon kinematics and crossing symmetry on the spectrum of Z. We also consider general features of the underlying Hopf algebra with Z as central Hopf subalgebra, and discuss the giant magnon semiclassical regime.