TY - JOUR
T1 - Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation.
AU - Vladimir, Bazhanov
AU - Sergeev, Sergey
PY - 2012/3/11
Y1 - 2012/3/11
N2 - We present a generalization of the master solution to the quantum Yang–Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking values on a circle. The Boltzmann weights are expressed in terms of the elliptic gamma-function. The associated solvable lattice model admits various equivalent descriptions, including an interaction-round-a-face formulation with positive Boltzmann weights. In the quasi-classical limit the model leads to a new series of classical discrete integrable equations on planar graphs
AB - We present a generalization of the master solution to the quantum Yang–Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking values on a circle. The Boltzmann weights are expressed in terms of the elliptic gamma-function. The associated solvable lattice model admits various equivalent descriptions, including an interaction-round-a-face formulation with positive Boltzmann weights. In the quasi-classical limit the model leads to a new series of classical discrete integrable equations on planar graphs
KW - Elliptic gamma-function
KW - Yang-Baxter equation
KW - Quantum integrable systems
U2 - 10.1016/j.nuclphysb.2011.10.032
DO - 10.1016/j.nuclphysb.2011.10.032
M3 - Article
SN - 0550-3213
VL - 856
SP - 475
EP - 496
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -