Abstract
Parafermionic quasi-particle basis and fermionic-type characters
Pierre Mathieu
Universite Laval
A quasi-particle basis of states for highest-weight modules in \( \mathbb{Z}_k \) 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.
No video available