  A rank-three tensor model in canonical formalism has recently been proposed.
The model describes consistent local-time evolutions of fuzzy spaces through a
set of first-class constraints which form an on-shell closed algebra with
structure functions. In fact, the algebra provides an algebraically consistent
discretization of the Dirac-DeWitt constraint algebra in the canonical
formalism of general relativity. However, the configuration space of this model
contains obvious degeneracies of representing identical fuzzy spaces. In this
paper, to delete the degeneracies, another first-class constraint representing
a scaling symmetry is added to propose a new canonical rank-three tensor model.
A consequence is that, while classical solutions of the previous model have
typically runaway or vanishing behaviors, the new model has a compact
configuration space and its classical solutions asymptotically approach either
fixed points or cyclic orbits in time evolution. Among others, fixed points
contain configurations with group symmetries, and may represent stationary
symmetric fuzzy spaces. Another consequence on the uniqueness of the local
Hamiltonian constraint is also discussed, and a minimal canonical tensor model,
which is unique, is given.
