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Home > Journal of High Energy Physics (Springer/SISSA) > Holographic entanglement entropy for gravitational anomaly in four dimensions |

Ali, Tibra (Perimeter Institute for Theoretical Physics, 31 Caroline Street N., Waterloo, ON, N2L 2Y5, Canada) ; Haque, S. (Laboratory for Quantum Gravity & Strings, Department of Mathematics & Applied Mathematics, University of Cape Town, Mathematics Building, Rondebosch, Cape Town, 7700, South Africa) ; Murugan, Jeff (Laboratory for Quantum Gravity & Strings, Department of Mathematics & Applied Mathematics, University of Cape Town, Mathematics Building, Rondebosch, Cape Town, 7700, South Africa) (School of Natural Sciences, Institute for Advanced Study, 1 Einstein Dr., Princeton, NJ, 08540, U.S.A.)

16 March 2017

**Abstract: **We compute the holographic entanglement entropy for the anomaly polynomial Tr R 2 in 3+1 dimensions. Using the perturbative method developed for computing entanglement entropy for quantum field theories, we also compute the parity odd contribution to the entanglement entropy of the dual field theory that comes from a background gravitational Chern-Simons term. We find that, in leading order in the perturbation of the background geometry, the two contributions match except for a logarithmic divergent term on the field theory side. We interpret this extra contribution as encoding our ignorance of the source which creates the perturbation of the geometry.

**Published in: ****JHEP 1703 (2017) 084**
**Published by: **Springer/SISSA

**DOI: **10.1007/JHEP03(2017)084

**arXiv: **1611.03415

**License: **CC-BY-4.0