论文标题
共形歧管的尼尔氏率指数
A Nilpotency Index of Conformal Manifolds
论文作者
论文摘要
我们表明，具有四个增压的超对称保形场理论（SCFTS）的边际运算符无法在共形歧管上的通用点上获得真空期望值。因此，准确的边缘算子在手性环中是nilpotent。这使我们能够将整数与保形歧管相关联，我们称之为保形歧管的nilpotency索引。我们讨论了各个方面的几个示例，其中我们证明了这些事实并计算了尼尔疗法指数。
We show that exactly marginal operators of Supersymmetric Conformal Field Theories (SCFTs) with four supercharges cannot obtain a vacuum expectation value at a generic point on the conformal manifold. Exactly marginal operators are therefore nilpotent in the chiral ring. This allows us to associate an integer to the conformal manifold, which we call the nilpotency index of the conformal manifold. We discuss several examples in diverse dimensions where we demonstrate these facts and compute the nilpotency index.
