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arXiv · hep-th/0406076

Jain states on a torus: an unifying description

Gerardo Cristofano·Vincenzo Marotta·Giuliano Niccoli
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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).

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Gerardo Cristofano, Vincenzo Marotta, Giuliano Niccoli. 2004-06-09. Jain states on a torus: an unifying description. https://doi.org/10.1088/1126-6708%2F2004%2F06%2F056

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