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arXiv 1102.3178hep-th
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De Sitter-Esque几何的全息术

Holography For a De Sitter-Esque Geometry

Dionysios Anninos, Sophie de Buyl, Stephane Detournay

摘要:

扭曲dS $_3$是在$μ^2 \ell^2 < 27$区域中,当宇宙学常数$+1/\ell^2$和Chern-Simons系数$1/μ$为正时,拓扑大质量引力(TMG)的解.它是由二维de Sitter空间上的实线纤维化给出的,并且等价于在固定极角下的旋转Nariai几何。我们研究了一类具有翘曲dS $_3$渐近性的几何的热力学和渐近结构。有趣的是,这些解既有宇宙学视界,也有内部视界,而且它们的熵从上方看是无界的,不像常规德西特空间中的黑洞。渐近对称群存在于未来无穷远处,由一个维拉索罗代数和一个当前代数的半直积给出。当$μ^2 \ell^2 = 27/5$ .我们讨论这些德西特式时空的可能的全息解释。

英文摘要:

Warped dS$_3$ arises as a solution to topologically massive gravity (TMG) with positive cosmological constant $+1/\ell^2$ and Chern-Simons coefficient $1/μ$ in the region $μ^2 \ell^2 < 27$. It is given by a real line fibration over two-dimensional de Sitter space and is equivalent to the rotating Nariai geometry at fixed polar angle. We study the thermodynamic and asymptotic structure of a family of geometries with warped dS$_3$ asymptotics. Interestingly, these solutions have both a cosmological horizon and an internal one, and their entropy is unbounded from above unlike black holes in regular de Sitter space. The asymptotic symmetry group resides at future infinity and is given by a semi-direct product of a Virasoro algebra and a current algebra. The right moving central charge vanishes when $μ^2 \ell^2 = 27/5$. We discuss the possible holographic interpretation of these de Sitter-esque spacetimes.

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