00869nas a2200133 4500008004100000245005100041210004200092260001500134520048400149100002400633700002000657700002100677856003700698 2010 eng d00aOn the degeneracy of SU(3)k topological phases0 adegeneracy of SU3k topological phases c2010/09/013 a
The ground state degeneracy of an $SU(N)_k$ topological phase with $n$ quasiparticle excitations is relevant quantity for quantum computation, condensed matter physics, and knot theory. It is an open question to find a closed formula for this degeneracy for any $N > 2$. Here we present the problem in an explicit combinatorial way and analyze the case N=3. While not finding a complete closed-form solution, we obtain generating functions and solve some special cases.
1 aJordan, Stephen, P.1 aMansour, Toufik1 aSeverini, Simone uhttp://arxiv.org/abs/1009.0114v1