A 2D CFT description of conventional and non conventional plateaux
for a quantum Hall fluid
Vincenzo Marotta
Abstract
We constructed an effective conformal
field theory by using a procedure which induces twisted boundary conditions for
the fundamental scalar fields. That allows to describe a quantum Hall fluid at
Jain hierarchical filling nu=m/2pm+1, in terms of one charged scalar field and
m-1 neutral ones. Than the resulting algebra of the chiral primary fields is
U(1)xWm. Finally the ground state wave functions are given as correlators of
appropriate composite fields. Such a construction has been extended to the
description of a quantum Hall fluid at non standard filling nu=m/pm+2. Also in
this last case the chiral primary fields appear as composite operators of a
charged and neutral component. The neutral modes describe parafermions and
contribute to the ground state wave function with a generalized Pfaffian term.
Also correlators of electrons in the presence of quasihole exitations are
explicitely given for the m=2 case.
Elenco dei partecipanti al convegno di Bari.