Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-02
Physics
High Energy Physics
High Energy Physics - Theory
20 pages
Scientific paper
The states in the irreducible modules of the minimal models can be represented by infinite lattice paths arising from consideration of the corresponding RSOS statistical models. For the M(p,2p+1) models, a completely different path representation has been found recently, this one on a half-integer lattice; it has no known underlying statistical-model interpretation. The correctness of this alternative representation has not yet been demonstrated, even at the level of the generating functions, since the resulting fermionic characters differ from the known ones. This gap is filled here, with the presentation of two versions of a bijection between the two path representations of the M(p,2p+1) states. In addition, a half-lattice path representation for the M(p+1,2p+1) models is stated, and other generalisations suggested.
Blondeau-Fournier Olivier
Mathieu Pierre
Welsh Trevor
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