Mathematics – Quantum Algebra
Scientific paper
2007-12-19
J.Phys.A41:194003,2008
Mathematics
Quantum Algebra
LaTex, 31 pp.; typos corrected, remarks and references added
Scientific paper
10.1088/1751-8113/41/19/194003
We develop the Baxterization approach to (an extension of) the quantum group GL_q(2). We introduce two matrices which play the role of spectral parameter dependent L-matrices and observe that they are naturally related to two different comultiplications. Using these comultiplication structures, we find the related fundamental R-operators in terms of powers of coproducts and also give their equivalent forms in terms of quantum dilogarithms. The corresponding quantum local Hamiltonians are given in terms of logarithms of positive operators. An analogous construction is developed for the q-oscillator and Weyl algebras using that their algebraic and coalgebraic structures can be obtained as reductions of those for the quantum group. As an application, the lattice Liouville model, the q-DST model, the Volterra model, a lattice regularization of the free field, and the relativistic Toda model are considered.
No associations
LandOfFree
Baxterization of GL_q(2) and its application to the Liouville model and some other models on a lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Baxterization of GL_q(2) and its application to the Liouville model and some other models on a lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Baxterization of GL_q(2) and its application to the Liouville model and some other models on a lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-2415