Duality in quantum Toda theory and W-algebras

1992/02/20 by H. G. Kausch, Horst G. Kausch, G.M.T. Watts +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/0550-3213(92)90179-f

published as Nucl.Phys. B386 (1992) 166-192 · 25 pages

arxiv created 1992/02/20 · openalex publication_date 1992/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Quantum Toda theory associated to a general Lie algebra. We prove that the conserved quantities in both conformal and affine Toda theories exhibit duality interchanging the Dynkin diagram and its dual, and inverting the coupling constant. As an example we discuss the conformal Toda theories based on B₂,B₃ and G₂ and the related affine theories.

Citations

• Exact S-matrices for nonsimply-laced affine Toda theories
• G₂¹ Affine Toda Field Theory: A Numerical Test of Exact S-Matrix results
• Solitons in affine Toda field theories
• THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY WITH Zn SYMMETRY

Cited by

• Affine Toda field theories related to Coxeter groups of noncrystallographic type