On Conformal Deformations II
On Conformal Deformations II
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关于共形变形 II
DOI：
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发表时间：
2010
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通讯作者：
B. Kol
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作者：
B. Kol
共形指数计算精确边缘变形的数量。在 4d 中，索引由复数全局群模拟出的 3 维手性主算子的数量给出，其中商通常通过施加 D 项来定义。在这里，我们展示了它与弱耦合理论的 Leigh-Strassler 方法的一致性，并针对已知的例子对其进行了测试。在一些例子中，该方法发现了比 Leigh-Strassler 更精确的边缘变形。 [这是一篇 2003 年 3 月 3 日未发表的论文。]
The conformal index counts the number of exactly marginal deformations. In 4d the index is given by the number of chiral primary operators of dimension 3 moded out by the complexified global group, where the quotient is defined as usual by imposing a D-term. Here we show its consistency with the Leigh-Strassler method for weakly coupled theories, and we test it against known examples. In several examples this method discovers extra exactly marginal deformations beyond those of Leigh-Strassler. [This is an unpublished paper dated 3.3.03.]