Jain states on a torus: an unifying description
High Energy Physics - Theory
2010-02-03 v1 Mesoscale and Nanoscale Physics
Abstract
We analyze the modular properties of the effective CFT description for Jain plateaux corresponding to the fillings nu=m/(2pm+1). We construct its characters for the twisted and the untwisted sector and the diagonal partition function. We show that the degrees of freedom entering the partition function go to complete a Z_{m}-orbifold construction of the RCFT U(1)xSU(m)$ proposed for the Jain states. The resulting extended algebra of the chiral primary fields can be also viewed as a RCFT extension of the U(1)xW(m) minimal models. For m=2 we prove that our model, the TM, gives the RCFT closure of the extended minimal models U(1)xW(2).
Cite
@article{arxiv.hep-th/0406076,
title = {Jain states on a torus: an unifying description},
author = {Gerardo Cristofano and Vincenzo Marotta and Giuliano Niccoli},
journal= {arXiv preprint arXiv:hep-th/0406076},
year = {2010}
}
Comments
27 pages, Latex, JHEP style, no figures