A note on -oscillator realizations of for Baxter -operators
arXiv:1907.07868 · doi:10.1016/j.nuclphysb.2019.114747
Abstract
We consider asymptotic limits of q-oscillator (or Heisenberg) realizations of Verma modules over the quantum superalgebra , and obtain q-oscillator realizations of the contracted algebras proposed in [arXiv:1205.1471]. Instead of factoring out the invariant subspaces, we make reduction on generators of the q-oscillator algebra, which gives a shortcut to the problem. Based on this result, we obtain explicit q-oscillator representations of a Borel subalgebra of the quantum affine superalgebra for Baxter Q-operators.
36 pages, minor revisions in the main text, a reference and an appendix added
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