Duality in Quantum Toda theory and W-algebras

H. G. Kausch; G. M. T. Watts

doi:10.1016/0550-3213(92)90179-F

Duality in Quantum Toda theory and W-algebras

High Energy Physics - Theory 2009-10-22 v1

Authors: H. G. Kausch , G. M. T. Watts

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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.

Keywords

quantum Toda theory duality Dynkin diagram coupling constant W-algebras conformal Toda affine Toda

Cite

@article{arxiv.hep-th/9202070,
  title  = {Duality in Quantum Toda theory and W-algebras},
  author = {H. G. Kausch and G. M. T. Watts},
  journal= {arXiv preprint arXiv:hep-th/9202070},
  year   = {2009}
}

Comments

25 pages

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