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We study the holographic entanglement entropy for singular surfaces in theories described
holographically by hyperscaling violating backgrounds. We consider singular surfaces
consisting of cones or creases in diverse dimensions. The structure of UV divergences of entanglement entropy exhibits new logarithmic terms whose coefficients, being cut-off independent, could be used to define new central charges in the nearly smooth limit. We also show that there is a relation between {these central charges} and the one appearing in the two-point function of the energy-momentum tensor. Finally we examine how this relation is affected by considering {higher-}curvature terms in the gravitational action.
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