1998/10/23 by Y. Takimoto, Hiroshi Igarashi, H. Igarashi +3 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th #nlin.SI #solv-int
paper · pdf · doi:10.1016/s0550-3213(99)00017-6
published as Nucl.Phys. B543 (1999) 615-651 · 38 pages, Latex
arxiv created 1998/10/23 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Locality is analyzed for Toda field theories by noting novel chiral description in the conventional nonchiral formalism. It is shown that the canonicity of the interacting to free field mapping described by the classical solution is automatically guaranteed by the locality. Quantum Toda theories are investigated by applying the method of free field quantization. We give Toda exponential operators associated with fundamental weight vectors as bilinear forms of chiral fields satisfying characteristic quantum exchange algebra. It is shown that the locality leads to nontrivial relations among the \cal R-matrix and the expansion coefficients of the exponential operators. The Toda exponentials are obtained for A2-system by extending the algebraic method developed for Liouville theory. The canonical commutation relations and the operatorial field equations are also examined.