Spinning geodesic Witten diagrams

Spinning geodesic Witten diagrams
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DOI:
10.1007/jhep11(2017)060
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发表时间:
2017-02
影响因子:
5.4
通讯作者:
Ethan Dyer;D. Freedman;J. Sully
Ethan Dyer;D. Freedman;J. Sully
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Ethan Dyer;D. Freedman;J. Sully

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给出了Anti-de Sitter空间中任意自旋对称无迹算子的四点共形块在测地线上的积分表达式,推广了Hijano等人的测地线维滕图形式. [1]任意旋转。作为一个中间步骤的推导,我们确定了一个方便的基础散装threepoint相互作用顶点,从而产生所有可能的边界三点结构。我们强调的共形块的表示为测地线维滕图和阴影算子形式主义之间的直接联系。
We present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of Hijano et al.[1] to arbitrary spin. As an intermediate step in the derivation, we identify a convenient basis of bulk threepoint interaction vertices which give rise to all possible boundary three point structures. We highlight a direct connection between the representation of the conformal block as geodesic Witten diagram and the shadow operator formalism.