TY - JOUR
T1 - Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm
AU - Maillard, J. M.
AU - Sergeev, S. M.
PY - 1997/7/17
Y1 - 1997/7/17
N2 - Simple solutions of modified tetrahedron equation are given. These solutions are related to the known solutions of the tetrahedron equation. Each R-matrix contains one (or two) "spectral" parameter(s). Using these simple solutions one gets two (resp. four) parameters commuting sets of two-layer transfer matrices, the whole number of parameters in each two-layer transfer matrix being five (resp. ten).
AB - Simple solutions of modified tetrahedron equation are given. These solutions are related to the known solutions of the tetrahedron equation. Each R-matrix contains one (or two) "spectral" parameter(s). Using these simple solutions one gets two (resp. four) parameters commuting sets of two-layer transfer matrices, the whole number of parameters in each two-layer transfer matrix being five (resp. ten).
KW - tetrahedron equations
KW - modified tetrahedron equations
KW - 2 + 1 integrability
KW - quantum dilogarithm
UR - http://www.scopus.com/inward/record.url?scp=0040564728&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(97)00601-1
DO - 10.1016/S0370-2693(97)00601-1
M3 - Article
AN - SCOPUS:0040564728
VL - 405
SP - 55
EP - 63
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -