Quantum Toda Chains Intertwined
Abstract
We conjecture an explicit construction of integral operators intertwining various quantum Toda chains. Compositions of the intertwining operators provide recursive and Q-operators for quantum Toda chains. In particular we propose a generalization of our previous results for Toda chains corresponding to classical Lie algebra to the generic BCn and Inozemtsev Toda chains. We also conjecture explicit form of Q-operators for closed Toda chains corresponding to Lie algebras B∞, C∞, D∞, affine Lie algebras B(1)n, C(1)n, D(1)n, D(2)n, A(2)2n-1, A(2)2n and the affine analogs of BCn and Inozemtsev Toda chains.
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