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arXiv 1802.01602hep-thgr-qc
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AdS中规范不变的可观测量、引力敷料和全息术

Gauge-invariant observables, gravitational dressings, and holography in AdS

Steven B. Giddings, Alex Kinsella

摘要:

本文探讨了在反德西特(AdS)空间中构造规范不变的观测量,以及如何找到一个与边界理论量子等价的“全息映射”的相关问题。通过引力修饰局部场论算子,在引力耦合中微扰地构造观测量到首阶,以解决引力约束。许多这样的敷料是允许的,两个明确检查,对应于重力线和库仑场,这些也揭示了一个明显的作用,更一般的边界条件比以前考虑。观测服从一个非局部代数,我们推导出明确的表达式的SO(D-1,2)AdS等距的边界生成器,作用于他们。我们研究的论点,重力{ \it解释}全息通过这样的边界哈密顿的作用。我们的前导序引力构造揭示了关于这些论证如何工作的一些问题,而且确实,这样一个全息图的构造似乎需要解非微扰的广义体约束方程。

英文摘要:

This paper explores construction of gauge (diffeomorphism)-invariant observables in anti de Sitter (AdS) space and the related question of how to find a "holographic map" providing a quantum equivalence to a boundary theory. Observables are constructed perturbatively to leading order in the gravitational coupling by gravitationally dressing local field theory operators in order to solve the gravitational constraints. Many such dressings are allowed and two are explicitly examined, corresponding to a gravitational line and to a Coulomb field; these also reveal an apparent role for more general boundary conditions than considered previously. The observables obey a nonlocal algebra, and we derive explicit expressions for the boundary generators of the SO(D-1,2) AdS isometries that act on them. We examine arguments that gravity {\it explains} holography through the role of such a boundary Hamiltonian. Our leading-order gravitational construction reveals some questions regarding how these arguments work, and indeed construction of such a holographic map appears to require solution of the non-perturbative generalization of the bulk constraint equations.

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