N=4 SYM理论中具有$q^2=0$的Grassmannian和形状因子
Grassmannians and form factors with $q^2=0$ in N=4 SYM theory
摘要：
我们考虑了具有类光算符动量$q^2=0$的应力张量算符超多重态的树级形状因子。我们提出了一个猜想的格拉斯曼积分表示为这些树级形状因子，以及为他们的循环对应的领导奇点。通过在$\mbox{MHV}$和$\mbox{N}^{k-2}\mbox{MHV}$，$k\geq3$扇区中重现几个已知的解，并加上适当的软限制，成功地验证了所提出的猜想.我们还讨论了取消虚假极点和不同的BCFW表示之间的关系，这样的形状因子简单的例子。
英文摘要：
We consider tree level form factors of operators from stress tensor operator supermultiplet with light-like operator momentum $q^2=0$. We present a conjecture for the Grassmannian integral representation both for these tree level form factors as well as for leading singularities of their loop counterparts. The presented conjecture was successfully checked by reproducing several known answers in $\mbox{MHV}$ and $\mbox{N}^{k-2}\mbox{MHV}$, $k\geq3$ sectors together with appropriate soft limits. We also discuss the cancellation of spurious poles and relations between different BCFW representations for such form factors on simple examples.
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