  In the UY reconfined phase on a lattice the thermal trace is over states
transforming in all $SU(N)/Z(N)$ irreducible representations as opposed to only
over $SU(N)$ singlets in the standard formulation. As $N\to\infty$, on a finite
lattice, the usual Hilbert space becomes orthogonal to the deformed one.
Concerns about the extended UY proposal for large $N$ Eguchi-Kawai reduction
are raised.
