Parafermionic quasi-particle basis and fermionic-type characters

Pierre Mathieu
Universite Laval
Physics

A quasi-particle basis of states for highest-weight
modules in $\ZZ_k$ parafermionic conformal theories
is derived directly from the parafermionic algebra. It
is formulated in terms of an effective exclusion
principle constraining strings of
$k$ fundamental parafermionic modes. It results
in fermionic-sum representations of the
characters, which are exactly the Lepowsky-Primc expressions.


Back to Long Programs