6,514 research outputs found
Quantum Group Representations and Baxter Equation
In this paper we propose algebraic universal procedure for deriving "fusion
rules" and Baxter equation for any integrable model with
symmetry of Quantum Inverse Scattering Method. Universal Baxter Q- operator is
got from the certain infinite dimensional representation called q-oscillator
one of the Universal R- matrix for affine algebra (first
proposed by V. Bazhanov, S.Lukyanov and A.Zamolodchikov for quantum KdV case).
We also examine the algebraic properties of Q-operator.Comment: 14 pages, Latex file, corrected references and acknowledgment
Tetrahedron Equation and Cyclic Quantum Dilogarithm Identities
We establish a hierarchy of quantum dilogarithm identities associated to a sequence of triangular shaped quivers. The tetrahedron equation plays a key role in our constructio
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