Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation

We study the effects of including higher-curvature corrections to the Einstein gravity bulk action on the holographic entanglement entropy (HEE) expression for geometries with hyperscaling violation (hvLf). For θ < 0 we show that one single new divergence arises for general curvature-squared gravities, which allows us to conjecture the general expression of HEE for any higher-order gravity action. For 0 < θ < d , we assume the hvLf geometry to arise above some intermediate scale r F , becoming AdS in the UV and perform a similar analysis for R n gravities. For negative values of θ we find that new logarithmic contributions show up in the HEE formula for any n th-order gravity when θ = d ( d −1) / ( d −2( n −1)) and d < 2( n −1). In the range 0 ≤ θ < d we do not find additional logarithmic contributions appearing at any order except for n = 1, which corresponds to the famous case θ = d − 1 encountered in Einstein gravity