Jain states on a torus: an unifying description

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Published 15 July 2004 • Published under licence by IOP Publishing Ltd
, , Citation Gerardo Cristofano et al JHEP06(2004)056 DOI 10.1088/1126-6708/2004/06/056

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Author affiliations

1 Dipartimento di Scienze Fisiche, Universitá di Napoli ``Federico II'' and INFN, Sezione di Napoli, Via Cintia - Compl. universitario M. Sant'Angelo - 80126 Napoli, Italy

2 Sissa and INFN, Sezione di Trieste, Via Beirut 1 - 34100 Trieste, Italy

Dates

  1. Received 10 June 2004
  2. Accepted 28 June 2004
  3. Published

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1126-6708/2004/06/056

Abstract

We analyze the modular properties of the effective CFT description for Jain plateaux, proposed in [1], corresponding to the fillings ν = 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 Zm-orbifold construction of the RCFT hat u(1) × hat su(m)1proposed for the Jain states [2,3]. The resulting extended algebra of the chiral primary fields can be also viewed as a RCFT extension of the hat u(1) × Script Wmminimal models [3]. For m = 2 we prove that our model, the TM, gives the RCFT closure of the extended minimal models hat u(1) × Script W2.

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10.1088/1126-6708/2004/06/056