Holographic Rényi Entropies at Finite Coupling
arXiv:1305.7191 · doi:10.1007/JHEP08(2013)063
Abstract
We compute Rényi entropies for a spherical entangling surface in four-dimensional N=4 super-Yang-Mills at strong coupling using the AdS/CFT correspondence. Incorporating the effects of the leading α' corrections to the low energy effective action of type IIB string theory, we calculate the leading corrections in inverse powers of the 't Hooft coupling (and the number of colours). The results are compared with known weak coupling calculations. Setting the order of the Rényi entropy q to one, it reduces to the entanglement entropy and the strong and weak coupling results match without any corrections, as expected. In the limit of q going to 0, the relation between the strong and weak coupling entropies is connected to the known corrections for the thermal free energy in flat space. We also compute the correction to the scaling dimension of twist operators.
29 pages, 3 figures
References in corpus (17)
- Towards a derivation of holographic entanglement entropy
- Holographic c-theorems in arbitrary dimensions
- Seeing a c-theorem with holography
- Entanglement spectrum in one-dimensional systems
- Entanglement entropy, conformal invariance and extrinsic geometry
- Entanglement Entropy at Large Central Charge
- Ground state entanglement and geometric entropy in the Kitaev's model
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Entanglement Entropy in the O(N) model
- Quantum corrections to eta/s
- The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
- Universal holographic hydrodynamics at finite coupling
- Entanglement entropy in higher derivative holography
- Mutual information and the structure of entanglement in quantum field theory
- On the Architecture of Spacetime Geometry
- Renyi extrapolation of Shannon entropy
- Structure of entanglement in regulated Lorentz invariant field theories
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