On the degeneracy of SU(3) k topological phases

S. P. Jordan; T. Mansour; S. Severini

doi:10.1134/S1061920812010037

On the degeneracy of SU(3) _k topological phases

S. P. Jordan, T. Mansour, S. Severini

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The ground state degeneracy of an SU(N) _k topological phase with n quasiparticle excitations is a 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.

Original language	English
Pages (from-to)	21-26
Number of pages	6
Journal	Russian Journal of Mathematical Physics
Volume	19
Issue number	1
DOIs	https://doi.org/10.1134/S1061920812010037
State	Published - Mar 2012

Bibliographical note

Funding Information:
support from the Sherman Fairchild Foundation and NSF grant PHY-

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1134/S1061920812010037

Cite this

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