Description
The talk presents recently published work (Ardonne, Bergholtz, Kailasvuori and
Wikberg, JSTAT, P04016 (2008)) on a simple way of counting the degeneracy of
Read-Rezayi states with nonabelian quasiparticles. The counting is done in the
lowest Landau level on a thin torus, where only the electrostatic part of the
two-body interaction survives and the eigenstates are represented by one-
dimensional Fock-representations with simple periodic patterns. The number of
different periodic patterns reproduces correctly the ground state degeneracy,
and counting the different kinds of domain walls gives the degeneracy in the
presence of quasiparticles. The combinatorics can be represented by Bratteli
diagrams. We also point out the connection to the same counting done with
CFT.
