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arXiv 0708.1871hep-th
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引力洛仑兹破坏与超光速的AdS/CFT对偶性

Gravitational Lorentz Violation and Superluminality via AdS/CFT Duality

Raman Sundrum

摘要:

在AdS_5引力时空的一个优选区域内构造了一个弱量子力学耦合,允许超光速通信。这是通过在具有弱耦合AdS对偶的四维共形场论的哈密顿量中加入一种特殊的空间非局部扰动来实现的,例如最大超对称杨-米尔斯理论。特别是,两个问题得到了仔细的处理:(1)我们的变形CFT的UV-完整性,保证存在一个“变形弦论”的AdS对偶,(2)超光速效应可以发生在AdS中,无论是在其边界上,以及在它的块。这些奇异的违反洛仑兹定律的性质可能对广义相对论的检验、解决宇宙学常数问题或探测“背后”的视界都有意义。我们的建设可能会给洞察的解释虫洞解决方案在欧几里德AdS引力。

英文摘要:

A weak quantum mechanical coupling is constructed permitting superluminal communication within a preferred region of a gravitating AdS_5 spacetime. This is achieved by adding a spatially non-local perturbation of a special kind to the Hamiltonian of a four-dimensional conformal field theory with a weakly-coupled AdS dual, such as maximally supersymmetric Yang-Mills theory. In particular, two issues are given careful treatment: (1) the UV-completeness of our deformed CFT, guaranteeing the existence of a ``deformed string theory'' AdS dual, and (2) the demonstration that superluminal effects can take place in AdS, both on its boundary as well as in the bulk. Exotic Lorentz-violating properties such as these may have implications for tests of General Relativity, addressing the cosmological constant problem, or probing "behind'' horizons. Our construction may give insight into the interpretation of wormhole solutions in Euclidean AdS gravity.

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