Duality in Quantum Toda theory and W-algebras

Details Duality in Quantum Toda theory and W-algebras Duality in Quantum Toda theory and W-algebras

1992-02-20

arxiv.org/abs/hep-th/9202070v1

Nucl.Phys. B386 (1992) 166-192

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1016/0550-3213(92)90179-F

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.

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