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arXiv 1208.4372hep-th
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三维平坦宇宙学视界的全息照相

Holography of 3d Flat Cosmological Horizons

Arjun Bagchi, Stephane Detournay, Reza Fareghbal, Joan Simon

摘要:

本文用对偶场论中的态计数方法首次推导了三维平坦宇宙视界的Bekenstein-Hawking熵。这些视界出现在R^{1,2}的平移助推轨道中,这是非极值旋转BTZ黑洞的平坦极限。这些3d几何在R^{1,2}的渐近对称代数(3d Bondi-Metzner-Sachs(BMS 3)代数)下携带非零电荷。对偶理论具有二维伽利略共形代数的对称性,这是维拉索罗代数的两个副本的收缩,它同构于BMS 3。我们研究了平面全息作为AdS 3/CFT 2的极限,半经典地计算了对偶中的态密度,精确地再现了大电荷极限中的体熵。我们平坦的视界,BTZ内部视界的残余也满足热力学热力学第一定律。我们评论如何复制的对偶理论散装第一定律和宇宙学散装激发如何匹配边界量子数。

英文摘要:

We provide a first derivation of the Bekenstein-Hawking entropy of 3d flat cosmological horizons in terms of the counting of states in a dual field theory. These horizons appear in the shifted-boost orbifold of R^{1,2}, the flat limit of non-extremal rotating BTZ black holes. These 3d geometries carry non-zero charges under the asymptotic symmetry algebra of R^{1,2}, the 3d Bondi-Metzner-Sachs (BMS3) algebra. The dual theory has the symmetries of the 2d Galilean Conformal Algebra, a contraction of two copies of the Virasoro algebra, which is isomorphic to BMS3. We study flat holography as a limit of AdS3/CFT2 to semi-classically compute the density of states in the dual, exactly reproducing the bulk entropy in the limit of large charges. Our flat horizons, remnants of the BTZ inner horizons also satisfy a first law of thermodynamics. We comment on how the dual theory reproduces the bulk first law and how cosmological bulk excitations are matched with boundary quantum numbers.

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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