Note on dual superconformal symmetry of the N = 4 super Yang-Mills S matrix
Note on dual superconformal symmetry of the N = 4 super Yang-Mills S matrix
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关于 N = 4 超 Yang-Mills S 矩阵的对偶超共形对称性的注记
DOI：
10.1103/physrevd.78.125005
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发表时间：
2008
影响因子：
5
通讯作者：
Brandhuber A
中科院分区：
文献类型：
--
作者：
Brandhuber A
本文给出了超Yang-Mills中树能级散射振幅的超对称递推关系。利用这种递推关系，我们证明了极大超对称理论的树级矩阵在对偶超共形变换下是协变的。我们进一步分析的后果，在这种对称下的树的变换属性上的循环。特别是，我们表明，在伪共形不变的标量盒函数的基础上的通用单圈振幅的扩展系数变换协变下的双重超共形对称，并在完全相同的方式作为相应的树级振幅。
We present a supersymmetric recursion relation for tree-level scattering amplitudes insuper Yang-Mills. Using this recursion relation, we prove that the tree-levelmatrix of the maximally supersymmetric theory is covariant under dual superconformal transformations. We further analyze the consequences that the transformation properties of the trees under this symmetry have on those of the loops. In particular, we show that the coefficients of the expansion of generic one-loop amplitudes in a basis of pseudoconformally invariant scalar box functions transform covariantly under dual superconformal symmetry, and in exactly the same way as the corresponding tree-level amplitudes.