One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
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N=4 Super Yang-Mills 中的单环振幅和反常对偶共角对称
DOI：
10.1088/1126-6708/2009/08/095
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发表时间：
2009
影响因子：
5.4
通讯作者：
G. Travaglini
中科院分区：
文献类型：
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作者：
A. Brandhuber;P. Heslop;G. Travaglini
我们讨论了在极大超对称杨-米尔斯理论中，利用反常对偶共形对称性可以对单圈超振幅作出什么样的预言。我们发现反常系数是一个特定的组合的两个质量的硬和一个质量的超系数出现在超对称的在壳递归关系，并等于相应的树水平的超幅度。我们进一步讨论了新的超系数之间的关系所施加的其余非异常的对称性的一部分。特别是，我们发现，所有的单圈超系数，除了四个质量箱系数，可以表示为线性组合的三个质量箱系数和一个特定的对称组合的两个质量硬系数。我们检查，我们的方程是明确满足的情况下，一个循环的n点MHV和NMHV振幅。作为奖励，我们证明了在任意数量的点的NMHV超振幅的协方差，扩展了以前的结果在n ≤ 9。
We discuss what predictions can be made for one-loop superamplitudes in maximally supersymmetric Yang-Mills theory by using anomalous dual conformal symmetry. We show that the anomaly coefficient is a specific combination of two-mass hard and one-mass supercoefficients which appears in the supersymmetric on-shell recursion relations and equals the corresponding tree-level superamplitude. We discuss further novel relations among supercoefficients imposed by the remaining non-anomalous part of the symmetry. In particular, we find that all one-loop supercoefficients, except the four-mass box coefficients, can be expressed as linear combinations of three-mass box coefficients and a particular symmetric combination of two-mass hard coefficients. We check that our equations are explicitly satisfied in the case of one-loop n-point MHV and NMHV amplitudes. As a bonus, we prove the covariance of the NMHV superamplitudes at an arbitrary number of points, extending previous results at n ≤ 9.
影响因子：
5.4
作者：
J. Drummond;J. Henn;J. Plefka
通讯作者：
J. Drummond;J. Henn;J. Plefka