Paired states on a torus Original Research Article

We analyze the modular properties of the effective CFT description for paired states, proposed in G. Cristofano, G. Maiella, V. Marrota, Mod. Phys. Lett. A 15 (2000) 1679, corresponding to the non-standard filling ν=1p+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 our partition function naturally go to complete a Z2-orbifold construction of the CFT for the Halperin state. Different behaviours for the p even and p odd cases are also studied. Finally it is shown that the tunneling phenomenon selects out a twist invariant CFT which is identified with the Moore–Read model.