Duality in Quantum Toda theory and W-algebras
H. G. Kausch, G. M. T. Watts
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.
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