Abstract
We describe the quantum-group structure of two-dimensionalN=1 supergravity in the conformal gauge. The operator-algebra of this (super-Liouville) theory is shown to correspond to a quantum deformation of the super-Möbius group, which provides a new solution of Yang and Baxter's equation. This structure is used to investigate the strong-coupling regime of the theory (1≦d≦9). Ford=5, a unitary truncation theorem-similar to the one of the bosonic case-is derived for the fundamental representation.
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Communicated by K. Gawedzki
Unité Propre du Centre National de la Recherche Scientifique, associée à l'École Normale Supérieure et à l'Université de Paris-Sud
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Gervais, JL., Rostand, B. On two-dimensional supergravity and the quantum super-Möbius group. Commun.Math. Phys. 143, 175–199 (1991). https://doi.org/10.1007/BF02100290
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DOI: https://doi.org/10.1007/BF02100290