  We extend and refine recent results on Renyi entropy in two-dimensional
conformal field theories at large central charge. To do so, we examine the
effects of higher spin symmetry and of allowing unequal left and right central
charges, at leading and subleading order in large total central charge. The
result is a straightforward generalization of previously derived formulae,
supported by both gravity and CFT arguments. The preceding statements pertain
to CFTs in the ground state, or on a circle at unequal left- and right-moving
temperatures. For the case of two short intervals in a CFT ground state, we
derive certain universal contributions to Renyi and entanglement entropy from
Virasoro primaries of arbitrary scaling weights, to leading and next-to-leading
order in the interval size; this result applies to any CFT. When these
primaries are higher spin currents, such terms are placed in one-to-one
correspondence with terms in the bulk 1-loop determinants for higher spin gauge
fields propagating on handlebody geometries.
