论文标题
Hilbert-Poincaré系列的超级勇气和麸皮
Supergravities and Branes from Hilbert-Poincaré Series
论文作者
论文摘要
事实证明，Molien-Weyl的整体公式和Hilbert-Poincaré系列已被证明是与衡量理论有关的强大数学工具，从而可以计算规格不变的操作员的数量。在本文中，我们表明这些方法也可以用于构建自由差分代数，因此可以重现相关的纯超级实质谱和非扰动对象。实际上，鉴于一组田地，希尔伯特 - 皇家系列级数允许计算所有可能的不变式，并因此得出同时的结构。
The Molien-Weyl integral formula and the Hilbert-Poincaré series have proven to be powerful mathematical tools in relation to gauge theories, allowing to count the number of gauge invariant operators. In this paper, we show that these methods can also be employed to construct Free Differential Algebras and, therefore, reproduce the associated pure supergravity spectrum and nonperturbative objects. Indeed, given a set of fields, the Hilbert-Poincaré series allows to compute all possible invariants and consequently derive the cohomology structure.
