# 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} }

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

### Half-lattice Paths and Virasoro Characters

- MathematicsFundam. Informaticae
- 2012

That the generating functions of these half-lattice paths are indeed M(p, 2p ± 1) characters is proved by describing weight preserving bijections between them and the corresponding RSOS lattice paths.

### A quartet of fermionic expressions for M(k,2k ± 1) Virasoro characters via half-lattice paths

- Physics
- 2017

### Path representation of suˆ(2)k states II: Operator construction of the fermionic character and spin-12–RSOS factorization

- Mathematics
- 2011

### One-dimensional sums and finitized characters of 2 × 2 fused RSOS models

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2018

Tartaglia and Pearce have argued that the nonunitary fused Forrester–Baxter models are described, in the continuum scaling limit, by the minimal models constructed as the higher-level conformal…

### Yang-Baxter integrable dimers and fused restricted-solid-on-solid lattice models

- Physics
- 2019

The main objects of investigation in this thesis are two Yang-Baxter integrable lattice models of statistical mechanics in two dimensions: nonunitary RSOS models and dimers. At criticality they admit…

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