Quantum sl_n Toda field theories

Details Quantum sl_n Toda field theories Quantum sl_n Toda field theories

1992-07-29

arxiv.org/abs/hep-th/9207101v1

Nucl.Phys. B390 (1993) 205-224; Erratum-ibid. B419 (1994) 407

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, SISSA-ISAS 110/92/EP

Scientific paper

10.1016/0550-3213(93)90392-3

We quantize $sl_n$ Toda field theories in a periodic lattice. We find the quantum exchange algebra in the diagonal monodromy (Bloch wave) basis in the case of the defining representation. In the $sl_3$ case we extend the analysis also to the second fundamental representation. We clarify, in particular, the relation of Jimbo and Rosso's quantum $R$ matrix with the quantum $R$ matrix in the Bloch wave basis.

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