Formulation of supersymmetric gauge theory on the lattice

我们在点阵上提出了点阵场理论的链接方法表述。我们将此公式应用于晶格上的二维和三维超杨-米尔斯理论。后来指出，对于场的积存在序歧义，因而公式不一致。为了解决这个问题，我们研究了矩阵形式的简单低维模型，并提出了几种可能的解决方案。然而，我们得到的结论是，晶格超对称的连杆逼近公式可以一致地表述为Hopf代数对称而不是李代数对称。

We have proposed so called link approach formulation of lattice field theory on the lattice. We applied this formulation to the cases of two and three dimensional super Yang-Mills theories on the lattice. Later it was pointed out that there is ordering ambiguity for the product of fields and thus the formulation is inconsistent. In order to solve this problem we investigated simpler low dimensional models in matrix form and proposed several possible proposals as solution. We, however, came to the conclusion that the link approach formulation of lattice supersymmetry can be consistently formulated not as Lie algebraic but as Hopf algebraic symmetry.