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arXiv 0901.3334hep-th
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N=6 Chern-Simons理论S-矩阵的双环检验

Two-loop test of the N=6 Chern-Simons theory S-matrix

Changrim Ahn, Rafael I. Nepomechie

摘要:

从ABJM的N=6超共形Chern-Simons理论中描述标量算符反常维数的可积双圈自旋链哈密顿量出发,对相应的双圈S-矩阵进行了直接坐标Bethe计算.这一结果与我们最近提出的全圈S-矩阵标量扇区的弱耦合极限一致。特别地,我们确认A和B粒子的散射是无反射的。作为热身,我们首先回顾了平面N=4超共形Yang-Mills理论标量扇区的单圈伸缩算子的单圈S-矩阵的模拟计算,并与全圈SU(2| 2)^{2} S-矩阵。

英文摘要:

Starting from the integrable two-loop spin-chain Hamiltonian describing the anomalous dimensions of scalar operators in the planar N=6 superconformal Chern-Simons theory of ABJM, we perform a direct coordinate Bethe ansatz computation of the corresponding two-loop S-matrix. The result matches with the weak-coupling limit of the scalar sector of the all-loop S-matrix which we have recently proposed. In particular, we confirm that the scattering of A and B particles is reflectionless. As a warm up, we first review the analogous computation of the one-loop S-matrix from the one-loop dilatation operator for the scalar sector of planar N=4 superconformal Yang-Mills theory, and compare the result with the all-loop SU(2|2)^{2} S-matrix.

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