English

The Baxter's Q-operator for the W-algebra $W_N$

Exactly Solvable and Integrable Systems 2008-11-26 v2 Mathematical Physics math.MP Quantum Algebra

Abstract

The q-oscillator representation for the Borel subalgebra of the affine symmetry Uq(slN)U_q(sl_N^) is presented. By means of this q-oscillator representation, we give the free field realizations of the Baxter's Q-operator Qj(t)Q_j(t), Qˉj(t)\bar{Q}_j(t) for the W-algebra WNW_N. We give the functional relations of the TT-QQ operators, including the higher-rank generalization of the Baxter's TT-QQ relation.

Keywords

Cite

@article{arxiv.0803.3505,
  title  = {The Baxter's Q-operator for the W-algebra $W_N$},
  author = {Takeo Kojima},
  journal= {arXiv preprint arXiv:0803.3505},
  year   = {2008}
}

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R2 v1 2026-06-21T10:24:11.338Z