THE MULTIVALUED FREE-FIELD MAPS OF LIOUVILLE AND TODA GRAVITIES Academic Article uri icon

abstract

  • 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 A1 or A2 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. 1994.

published proceedings

  • NUCLEAR PHYSICS B

author list (cited authors)

  • ANDERSON, A., NILSSON, B., POPE, C. N., & STELLE, K. S.

citation count

  • 11

complete list of authors

  • ANDERSON, A||NILSSON, BEW||POPE, CN||STELLE, KS

publication date

  • January 1994