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Localized states in global AdS space

机译：全球广告空间中的本地化国家

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We construct both local states and scattering states with finite energy in global AdS by inserting properly regularized operators in the CFT of arbitrary conformal dimension ( Δ ) at an instant of time. We give the state fixed angular momentum ( ? ) by integrating the result over a sphere with appropriate spherical harmonics. The energy of the states and their angular resolution are computed with CFT operator methods and are independent of having an AdS interpretation. In the semiclassical limit of large conformal dimension operators, these correspond to single particles localized within sub-AdS scales with width 1 / Δ in AdS units, whose subsequent evolution is controlled by bulk geodesics. Our construction allows us to place a particle in any desired geodesic. For radial geodesics, we show that the amplitude to produce the desired state can be thought of as a regularized tunneling amplitude from the boundary to the radial turning point of the radial geodesic, while for other geodesics we argue that the insertion is at the outermost radial turning point of the corresponding geodesic.
机译：我们通过在一瞬间在任意保形尺寸（Δ）中的正确正则化操作员在全球广告中，在全球广告中使用有限的能量来构造本地状态和散射状态。通过将结果与适当的球形谐波集成，我们通过将结果集成在一个球体上，给出状态固定角动量（？）。使用CFT操作员方法计算状态的能量及其角度分辨率，并且与具有广告解释的独立性。在大型尺寸尺寸操作员的半思法极限中，这些对应于在ADS单元中的宽度1 /δ的子广告尺度内定位的单个颗粒，其后续演进由散装大动测量控制。我们的结构允许我们将粒子放入任何所需的测地中。对于径向测量仪，我们表明，产生所需状态的幅度可以被认为是从边界到径向测地的边界的正则隧道幅度，而我们认为插入位于最外径的径向上相应的测地的转折点。

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