论文标题
全息几何形状的超符合块
Superconformal Block from Holographic Geometry
论文作者
论文摘要
我们明确构建四个维度$ \ Mathcal {n} = 4 $ superCongrongormal块，其中包含半bps标量主要运算符，以考虑其完整的$ ads_5 \ times s^5 $双几何形状，将构造全息二构型。我们将嵌入空间形式主义和相关的谐波分析扩展到一般$ d $二维球$ s^d $，并准确地获得了$ r $ symmetry对半bps标量超级符号块的贡献，我们将其称为“ $ r $ $ -symmetry块”。我们还观察到，可以将$ r $ symmetry二次的二次Casimir操作员映射到BC $ _ {2} $ Calogero-Sutherland System Hamiltonian，因此，$ r $ -smmetry Block在其界限状态波函数中被标识为。
We explicitly construct the holographic dual configuration for the four dimensional $\mathcal{N}=4$ superconformal block containing half-BPS scalar primary operators by considering its full $AdS_5 \times S^5$ dual geometry. We extend the embedding space formalism and the related Harmonic analysis to general $d$-dimensional sphere $S^d$, and obtain precisely the $R$-symmetry contribution to the half-BPS scalar superconformal blocks, which we refer as "$R$-symmetry block". We also observe that the $R$-symmetry quadratic Casimir operator can be mapped to BC$_{2}$ Calogero-Sutherland system Hamiltonian, such that $R$-symmetry block is in terms identified as its bound state wave function.
