TY - JOUR T1 - On the degeneracy of SU(3)k topological phases Y1 - 2010 A1 - Stephen P. Jordan A1 - Toufik Mansour A1 - Simone Severini AB -

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.

UR - http://arxiv.org/abs/1009.0114v1 ER -