论文标题
关于全息/等级双重性的评论
Comments on Holographic Level/Rank Dualities
论文作者
论文摘要
我们研究了纯Chern-Simons理论的IIB弦弦理论的全息知识，并专注于它们所享受的水平/等级二元性。水平/等级二元性是在边界理论之间建立的，利用在$ S^1 $上压实的D3-branes进行了设计，以及位于特定批量位置的探针D7-BRANES上的理论。请注意Ramond-Ramond（RR）两种形式上施加的边界条件，我们表明全息照相精确地再现了几个不同的水平/等级双对。 $ sl（2，\ mathbf {z}）$动作与所有这些理论相关的操作是通过$ sl（2，\ mathbf {z}）$ election/磁性双重性实现的，涉及RR电位。
We investigate a holographic realization in Type-IIB string theory of pure Chern-Simons theories, and focus on the level/rank dualities that they enjoy. The level/rank duality is established between the boundary theory, engineered utilizing D3-branes compactified on a $S^1$, and the theory on probe D7-branes located at a specific bulk location. Paying attention to the boundary conditions imposed on the Ramond-Ramond (RR) two- and six-forms, we show that holography precisely reproduces several different level/rank dual pairs. The $SL(2,\mathbf{Z})$ action relating all these theories is realized through the $SL(2,\mathbf{Z})$ electric/magnetic duality involving the RR potentials.
