A 2+1D topological field theory (topologically ordered states), implies that the topological ground state degeneracy (GSD) on $T^2$ torus (2D manifold without boundary). For example a level k U(1) Chern-Simons theory implies a GSD$=k$.
If we put the topological field theory on a 2D manifold with 1D boundary, we expect 1+1D gapless edge states; and there are central charges $c$, which roughly measures the degree of freedom of the gapless edge states.
My question is: are there some explicit formula relates: topological ground state degeneracy GSD and central charges c?
here $\dots$ are other possible data. RHS are the desired functions of my questions. It will be better to take some examples of non-Abelian topological field theory (topologically ordered states) to test its formula's validity.