Duality in Quantum Toda theory and W-algebras

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 $B_2,B_3$ and $G_2$ and the related affine theories.

25 pages

References in corpus (4)

• Quantum Solitons in Affine Toda Field Theories
• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• Exact s-Matrices for the Nonsimply-Laced Affine Toda Theories $a_{2n-1}^{(2)}$
• G_2^1 Affine Toda Field Theory: A Numerical Test of Exact S-Matrix results

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