### Abstract

Original language | English |
---|---|

Pages (from-to) | 234-258 |

Number of pages | 25 |

Journal | Nuclear Physics B |

Volume | 784 |

Issue number | 3 |

DOIs | |

Publication status | Published - 19 Nov 2007 |

Externally published | Yes |

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### Cite this

*Nuclear Physics B*,

*784*(3), 234-258. https://doi.org/10.1016/j.nuclphysb.2007.05.013

}

*Nuclear Physics B*, vol. 784, no. 3, pp. 234-258. https://doi.org/10.1016/j.nuclphysb.2007.05.013

**Faddeev-Volkov solution of the Yang- Baxter equation and discrete conformal symmetry.** / Vladimir, Bazhanov; Mangazeev, Vladimir; Sergeev, Sergey.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Faddeev-Volkov solution of the Yang- Baxter equation and discrete conformal symmetry

AU - Vladimir, Bazhanov

AU - Mangazeev, Vladimir

AU - Sergeev, Sergey

PY - 2007/11/19

Y1 - 2007/11/19

N2 - The Faddeev–Volkov solution of the star-triangle relation is connected with the modular double of the quantum group Uq(sl2). It defines an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line. The free energy of the model is exactly calculated in the thermodynamic limit. The model describes quantum fluctuations of circle patterns and the associated discrete conformal transformations connected with the Thurston's discrete analogue of the Riemann mappings theorem. In particular, in the quasi-classical limit the model precisely describe the geometry of integrable circle patterns with prescribed intersection angles

AB - The Faddeev–Volkov solution of the star-triangle relation is connected with the modular double of the quantum group Uq(sl2). It defines an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line. The free energy of the model is exactly calculated in the thermodynamic limit. The model describes quantum fluctuations of circle patterns and the associated discrete conformal transformations connected with the Thurston's discrete analogue of the Riemann mappings theorem. In particular, in the quasi-classical limit the model precisely describe the geometry of integrable circle patterns with prescribed intersection angles

U2 - 10.1016/j.nuclphysb.2007.05.013

DO - 10.1016/j.nuclphysb.2007.05.013

M3 - Article

VL - 784

SP - 234

EP - 258

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

IS - 3

ER -