Abstract
We consider the reduced density matrix for a disk in the ground state of the interacting fixed points of the large-N O(N) vector model in 2 + 1 dimensions. Using the map to the free energy on H-2 x S-1, we show that there is an instability in the Renyi entropies at n = 1 in the N ->infinity limit, indicating a phase transition at or near this Renyi parameter. We close with a discussion of the finite-N case.
