Holography from Singular Supertranslations on a Black Hole Horizon.
Holography from Singular Supertranslations on a Black Hole Horizon.
复制标题
黑洞地平线上奇异超平移的全息术。
DOI:
10.1103/physrevlett.129.221603
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发表时间:
2022
影响因子:
8.6
通讯作者:
Akhoury R
中科院分区:
文献类型:
--
作者:
Akhoury R
We investigate the standard and dual Bondi-Metzner-Sachs (BMS) supertranslation generators on a black hole horizon and draw some conclusions about black hole physics. Recently, it has been shown that in addition to conventional BMS supertranslation symmetries, there exists an additional infinite set of magnetic asymptotic symmetries, dual BMS supertranslations, again parametrized by a function on the two-sphere. We show that the Dirac bracket between these generators exhibits an anomalous central term when one parameter function exhibits a singularity in the complex stereographical coordinates on the sphere. In order to preserve general coordinate invariance, we demonstrate that this central term can be removed by postulating a holographic gravitational Chern-Simons theory on the horizon. This indicates that for an anomaly-free theory of quantum gravity in the presence of a black hole, one should include a boundary theory on the horizon.
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