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Bulk reconstruction for spinor fields in AdS/CFT

机译:广告/ CFT中旋转字段的批量重建

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A bstract We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable modes, work out the extrapolate dictionary for spinor fields, and show that the bulk field can be reconstructed from its near-boundary behavior. In some cases chirality and reality conditions can be imposed in the bulk. We study the action of the CFT modular Hamiltonian on bulk fermions to show that they transform with the expected spinor Lie derivative, and we calculate bulk-boundary two-point functions starting from CFT correlators.
机译:Bstract在双保形场理论中,我们在涂抹的运营商方面开发了大量洛伦提抗De Satter空间中的自由旋转丝场的代表。 为此,我们将批量字段展开一组完整的常规模式,用于扫描旋转字段的外推字典,并显示批量字段可以从其近边界行为重建。 在某些情况下,可以在批量中施加手性和现实条件。 我们研究了CFT模块汉密尔顿人对散装费米氏派对的动作,以表明它们用预期的旋转型衍生物转换,并且我们从CFT相关器开始计算散装边界两点函数。

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