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Q-Operator and the Drinfeld Equation

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Abstract

We show that the TQ equation is satisfied by the trace over the quantum space of the product of R-matrices intertwining two representations of the quantum double of the Borel subalgebra of the affine algebra \(U_{\text{q}} (\widehat{sl}_2 )\) (the standard two-dimensional and the N-dimensional cyclic representations).

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REFERENCES

  1. R. I. Baxter, Ann.Phys., 70, 193, 323 (1972); 76, 48 (1973).

    Google Scholar 

  2. V. V. Bazhanov and Yu. G. Stroganov, J.Stat.Phys., 51, 799 (1990).

    Google Scholar 

  3. V. Tarasov, Internat.J.Mod.Phys.A, 7 Suppl. 1B, 963 (1992).

    Google Scholar 

  4. M. Jimbo, “Topics from representations of Uq ({g)-an introductory guide to physicists,” Preprint, Kyoto Univ., Kyoto, Japan (1991).

    Google Scholar 

  5. A. A. Belavin, A. V. Odesskii, and R. A. Usmanov, Theor.Math.Phys., 130, 323 (2002); hep-th/0110126 (2001).

    Google Scholar 

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Belavin, A.A., Usmanov, R.A. Q-Operator and the Drinfeld Equation. Theoretical and Mathematical Physics 135, 757–764 (2003). https://doi.org/10.1023/A:1024070602051

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  • DOI: https://doi.org/10.1023/A:1024070602051

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