# A Bijection Between Paths for the $${\mathcal{M}(p, 2p + 1)}$$ Minimal Model Virasoro Characters

@article{BlondeauFournier2009ABB,
title={A Bijection Between Paths for the \$\$\{\mathcal\{M\}(p, 2p + 1)\}\$\$ Minimal Model Virasoro Characters},
author={Olivier Blondeau-Fournier and Pierre Mathieu and Trevor A. Welsh},
journal={Annales Henri Poincar{\'e}},
year={2009},
volume={11},
pages={101-125}
}
• Published 2 December 2009
• Mathematics
• Annales Henri Poincaré
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 $${\mathcal{M}(p, 2p + 1)}$$ 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…
6 Citations

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