  We construct a new class of entanglement measures by extending the usual
definition of Renyi entropy to include a chemical potential. These charged
Renyi entropies measure the degree of entanglement in different charge sectors
of the theory and are given by Euclidean path integrals with the insertion of a
Wilson line encircling the entangling surface. We compute these entropies for a
spherical entangling surface in CFT's with holographic duals, where they are
related to entropies of charged black holes with hyperbolic horizons. We also
compute charged Renyi entropies in free field theories.
