Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-06-09
JHEP 0406:056,2004
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, Latex, JHEP style, no figures
Scientific paper
10.1088/1126-6708/2004/06/056
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).
Cristofano Gerardo
Marotta Vincenzo
Niccoli Giuliano
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