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arXiv 1106.6299hep-thgr-qc
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共形Chern-Simons引力的全息图

Holograms of Conformal Chern-Simons Gravity

H. Afshar, B. Cvetkovic, S. Ertl, D. Grumiller, N. Johansson

摘要:

我们证明了三维共形Chern-Simons引力具有多种全息描述。它们依赖于共形等价类和Weyl因子上的边界条件,即使前者被限制为渐近Anti-deSitter行为。对于常数或固定的Weyl因子,我们的结果与拓扑大质量引力结果的适当标度极限一致。对于不同的外尔因子,我们发现一个增强的渐近对称群,其细节取决于某些选择。我们专注于一个特殊的例子,仿射u(1)代数有关的全纯Weyl重新标度移动的中心荷之一1。在对偶共形场论中,外尔因子表现为自由手征玻色子。

英文摘要:

We show that conformal Chern-Simons gravity in three dimensions has various holographic descriptions. They depend on the boundary conditions on the conformal equivalence class and the Weyl factor, even when the former is restricted to asymptotic Anti-deSitter behavior. For constant or fixed Weyl factor our results agree with a suitable scaling limit of topologically massive gravity results. For varying Weyl factor we find an enhancement of the asymptotic symmetry group, the details of which depend on certain choices. We focus on a particular example where an affine u(1) algebra related to holomorphic Weyl rescalings shifts one of the central charges by 1. The Weyl factor then behaves as a free chiral boson in the dual conformal field theory.

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