论文标题
...，83106786，114382724，1509048322，2343463290，27410087742，...有效理论的高效希尔伯特系列
..., 83106786, 114382724, 1509048322, 2343463290, 27410087742, ... Efficient Hilbert Series for Effective Theories
论文作者
论文摘要
我们提出了一种有效的算法，用于确定希尔伯特系列的有效理论，并以形式提供称为Eco（有效计数运算符的有效计数）的伴随代码。例如，标准模型有效理论（SMEFT）中维度15运算符的希尔伯特系列可以在一分钟内在单个CPU核心上获得。尽管我们的实施重点放在SMEFT上，但我们允许灵活的自由度的用户输入。此外，可以包括重力以及其他U（1）全局或规格对称性。
We present an efficient algorithm for determining the Hilbert series of an effective theory and provide a companion code called ECO (Efficient Counting of Operators) in FORM. For example, the Hilbert series for the dimension 15 operators in the Standard Model Effective Theory (SMEFT) can be obtained in a minute on a single CPU core. While our implementation focusses on SMEFT, we allow for a flexible user input of the light degrees of freedom. Furthermore, gravity, as well as additional U(1) global or gauge symmetries can be included.
