On the degeneracy of $SU(3)_k$ topological phases
Combinatorics
2010-09-02 v1 Mathematical Physics
math.MP
Abstract
The ground state degeneracy of an topological phase with 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 . 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.
Keywords
Cite
@article{arxiv.1009.0114,
title = {On the degeneracy of $SU(3)_k$ topological phases},
author = {Stephen P. Jordan and Toufik Mansour and Simone Severini},
journal= {arXiv preprint arXiv:1009.0114},
year = {2010}
}
Comments
5 pages