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arXiv · 0709.1658

New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions

P. Jacob·P. Mathieu
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Abstract

We present a new path description for the states of the non-unitary M(k+1,2k+3) models. This description differs from the one induced by the Forrester-Baxter solution, in terms of configuration sums, of their restricted-solid-on-solid model. The proposed path representation is actually very similar to the one underlying the unitary minimal models M(k+1,k+2), with an analogous Fermi-gas interpretation. This interpretation leads to fermionic expressions for the finitized M(k+1,2k+3) characters, whose infinite-length limit represent new fermionic characters for the irreducible modules. The M(k+1,2k+3) models are also shown to be related to the Z_k graded parafermions via a (q to 1/q) duality transformation.

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P. Jacob, P. Mathieu. 2008-05-28. New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions. https://doi.org/10.1088/1742-5468/2007/11/p11005

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