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Paired states on a torus

G. Cristofano·G. Maiella·V. Marotta·G. Niccoli
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Abstract

We analyze the modular properties of the effective CFT description for paired states, proposed in cond-mat/0003453, corresponding to the non-standard filling nu =1/(p+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 Z_2-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.

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G. Cristofano, G. Maiella, V. Marotta, G. Niccoli. 2002-04-26. Paired states on a torus. https://doi.org/10.1016/s0550-3213(02)00574-6

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