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arXiv 0905.1259hep-th
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关于Massive 3D Gravity

More on Massive 3D Gravity

Eric A. Bergshoeff, Olaf Hohm, Paul K. Townsend

摘要:

我们探讨了最近发现的三维“新大质量引力”(NMG)的静态解的空间,允许Einstein-Hilbert项的符号和宇宙学项参数化的无量纲常数$λ$。对于$λ=-1$,我们发现黑洞解渐近(但不是等距)唯一的(反)德西特真空,包括极端黑洞之间的真空和(a)dS $_2 \times S^1$插值。我们还研究了(a)dS真空中线性化NMG的么正性。我们发现一些dS真空的酉理论,但(散装)酉在adS意味着负中心电荷的双重CFT,除了$λ=3$的中心荷消失和散装引力子被取代的“大质量光子”。在NMG的无质量极限中也发现了类似的现象,线性化的方程组与麦克斯韦方程组等价。

英文摘要:

We explore the space of static solutions of the recently discovered three-dimensional `New Massive Gravity' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant $λ$. For $λ=-1$ we find black hole solutions asymptotic (but not isometric) to the unique (anti) de Sitter vacuum, including extremal black holes that interpolate between this vacuum and (a)dS$_2 \times S^1$. We also investigate unitarity of linearized NMG in (a)dS vacua. We find unitary theories for some dS vacua, but (bulk) unitarity in adS implies negative central charge of the dual CFT, except for $λ=3$ where the central charge vanishes and the bulk gravitons are replaced by `massive photons'. A similar phenomenon is found in the massless limit of NMG, for which the linearized equations become equivalent to Maxwell's equations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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