Conformal field theory and edge excitations for the principal series of quantum Hall fluids

Abstract

Motivated by recent experimental results, we reconsider the theory of the edge excitations for the fractional Hall effect at filling factors $ν=p/(2np+1)$. We propose to modify the standard $u(1)\otimes su(p)$ edge theory for this series by introducing twist fields which change the boundary conditions of the bosonic fields and simulate the effect of fractions of flux quanta $ϕ_0/p$. This has the effect of removing the conserved charges associated to the neutral modes while keeping the right statistics of the particles. The Green function of the electron in presence of twists decays at long distance with an exponent varying continuously with $ν$.