The Multivalued free field maps of Liouville and Toda gravities
Jan, 1994
46 pages
Published in:
- Nucl.Phys.B 430 (1994) 107-152
e-Print:
- hep-th/9401007 [hep-th]
Report number:
- CTP-TAMU-1-94,
- GOTEBORG-94-3,
- GOTEBORG-ITP-94-3,
- IMPERIAL-TP-93-94-13
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Abstract: (desy)
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 or 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.- quantum gravity
- dimension: 2
- field theory: Toda
- field theory: Liouville
- Hamiltonian formalism
- operator: algebra
- analytic properties
- astrophysics: superspace
- bibliography
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