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A Generalized Q operator for U(q)(affine sl(2)) vertex models

Jun, 2002
23 pages
Published in:
  • J.Phys.A 35 (2002) 10015-10032
e-Print:
DOI:
Report number:
  • EMPG-02-13
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Abstract:
In this paper, we construct a Q-operator as a trace of a representation of the universal R-matrix of Uq(sl^2)U_q(\hat{sl}_2) over an infinite-dimensional auxiliary space. This auxiliary space is a four-parameter generalization of the q-oscillator representations used previously. We derive generalized T-Q relations in which 3 of these parameters shift. After a suitable restriction of parameters, we give an explicit expression for the Q-operator of the 6-vertex model and show the connection with Baxter's expression for the central block of his corresponding operator.
Note:
  • 22 pages, Latex2e. This replacement is a revised version that includes a simple explicit expression for the Q matrix for the 6-vertex model Report-no: EMPG-02-13 Subj-class: Mathematical Physics: Quantum Algebra: Statistical Mechanics MSC-class: 82B23 (Primary) 81R12, 81T40 (Secondary)