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

  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}},
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… 

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