Baxterization of GL q2 and its application to the Liouville model and some other models on a lattice - Mathematics > Quantum AlgebraReportar como inadecuado




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Abstract: We develop the Baxterization approach to an extension of the quantum groupGL q2. We introduce two matrices which play the role of spectral parameterdependent L-matrices and observe that they are naturally related to twodifferent comultiplications. Using these comultiplication structures, we findthe related fundamental R-operators in terms of powers of coproducts and alsogive their equivalent forms in terms of quantum dilogarithms. The correspondingquantum local Hamiltonians are given in terms of logarithms of positiveoperators. An analogous construction is developed for the q-oscillator and Weylalgebras using that their algebraic and coalgebraic structures can be obtainedas reductions of those for the quantum group. As an application, the latticeLiouville model, the q-DST model, the Volterra model, a lattice regularizationof the free field, and the relativistic Toda model are considered.



Autor: A.G. Bytsko

Fuente: https://arxiv.org/







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