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Gravitational Anomalies in nAdS₂/nCFT₁

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arxiv 1911.11434 v3 pith:MSYXZ5GT submitted 2019-11-26 hep-th

Gravitational Anomalies in nAdS₂/nCFT₁

classification hep-th
keywords gravitationalnearhorizonnadsncftanomalyblackboundary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We revisit the holographic description of the near horizon geometry of the BTZ black hole in AdS$_3$ gravity, with a gravitational Chern-Simons term included. After a dimensional reduction of the three dimensional theory, we use the framework of nAdS$_2$/nCFT$_1$ to describe the near horizon physics. This setup allows us to contrast the role of the gravitational and conformal anomaly inherited from AdS$_3$/CFT$_2$ in the symmetry breaking mechanism of nAdS$_2$/nCFT$_1$. Our results display how boundary conditions in the 3D spacetime, combined with the gravitational anomaly, affect the holographic description of the near horizon of the black hole relative to the physics near the AdS$_3$ boundary.

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