Chiral partition functions of quantum Hall droplets

Abstract

Abstract: Chiral partition functions of conformal eld theory describe the edge exci- tations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a nite-dimensional representation of the modular group. The partition functions are derived and used to describe electron transitions leading to Coulomb blockade conductance peaks. We nd the peak patterns for Abelian hierarchical states and non- Abelian Read-Rezayi states, and compare them. Experimental observation of these features can check the qualitative properties of the conformal eld the- ory description, such as the decomposition of the Hilbert space into sectors, involving charged and neutral parts, and the fusion rules.