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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
Abstract:
The holographic entanglement entropy for the most general higher derivative
gravity is investigated. We find a new type of Wald entropy, which appears in
the dynamic spacetime and reduces to usual Wald entropy for stationary black
holes. Furthermore, we obtain a formal formula of HEE for the most general
higher derivative gravity and work it out exactly for some squashed cones. As
an important application, we derive HEE for gravitational action with one
derivative of the curvature when the extrinsic curvature vanishes. We also
study some toy models with non-zero extrinsic curvature. We prove that our
formula yields the correct universal term of entanglement entropy for 4d CFTs.
Furthermore, we solve the puzzle raised by Hung, Myers and Smolkin that the
logarithmic term of entanglement entropy derived from Weyl anomaly of CFTs does
not match the holographic result even if the extrinsic curvature vanishes. We
find that such mismatch comes from the `anomaly of entropy' of the derivative
of curvature. After considering such contributions carefully, we resolve the
puzzle successfully.
