The Multivalued Free-Field Maps of Liouville and Toda Gravities

Details The Multivalued Free-Field Maps of Liouville and Toda Gravities The Multivalued Free-Field Maps of Liouville and Toda Gravities

1994-01-04

arxiv.org/abs/hep-th/9401007v4

Nucl.Phys.B430:107-152,1994

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, plain Tex, 5 Postscript figures, uses epsf.tex. Repackaging to permit Postscript generation, no changes to paper

Scientific paper

10.1016/0550-3213(94)90652-1

Liouville and Toda gravity theories with non-vanishing interaction potentials have spectra obtained by dividing the free-field spectra for these cases by the Weyl group of the corresponding $A_1$ or $A_2$ Lie algebra. We study the canonical transformations between interacting and free fields using the technique of intertwining operators, giving explicit constructions for the wavefunctions and showing that they are invariant under the corresponding Weyl groups. These explicit constructions also permit a detailed analysis of the operator-state maps and of the nature of the Seiberg bounds.

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