Abstract
We propose a manifestly covariant formulation of the differential Noether charge for higher-dimensional Chern–Simons terms. With our differential Noether charge, we provide a covariant proof of the black hole entropy formula for gravitational and mixed U(1)-gravitational Chern–Simons terms. By evaluating the charge on the rotating charged AdS black hole background constructed by the fluid/gravity derivative expansion, we show that the Chern–Simons contribution to black hole entropy agrees with the anomaly-induced entropy current in the dual conformal field theory at the leading order of the derivative expansion.
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Azeyanagi, T. (2018). Black Hole Entropy in the Presence of Chern–Simons Term and Holography. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 2nd Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 208. Springer, Cham. https://doi.org/10.1007/978-3-319-94256-8_13
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DOI: https://doi.org/10.1007/978-3-319-94256-8_13
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