论文标题
符号司法司法，双形式对称性和4点振幅在6D中
Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
论文作者
论文摘要
我们研究了一种基于代数的新方法，以寻找用于散射幅度的硕士公式。我们的主要动机是4D $ \ MATHCAL {N} = 4 $ SYM的巨大振幅，因此我们考虑了6d Grassmannian公式，我们可以利用无质量的运动学。接下来，我们使用对称性参数，尤其是6D双形式对称性，将其推广到任意双重共形权重。假设在plücker坐标（即未成年人）方面有理性的ansatz，则这种方法会导致一组代数方程。例如，我们明确地找到了4点散射幅度的解决方案，直到比例性常数。
We investigate a new algebra-based approach of finding Grassmannian formulas for scattering amplitudes. Our prime motivation is massive amplitudes of 4D $\mathcal{N}=4$ SYM, and therefore we consider a 6D Grassmannian formula, where we can take advantage of massless kinematics. We next use symmetry arguments, and in particular, 6D dual conformal symmetry generalized to arbitrary dual conformal weights. Assuming a rational ansatz in terms of Plücker coordinates (i.e. minors) for the integrand, this approach leads to a set of algebraic equations. As an example, we explicitly find the solution for 4-point scattering amplitudes up to proportionality constants.
