On two-dimensional supergravity and the quantum super-Möbius group

Details On two-dimensional supergravity and the quantum super-Möbius group On two-dimensional supergravity and the quantum super-Möbius group

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cmaph.143..175g&link_type=abstract

Communications in Mathematical Physics, Volume 143, Issue 1, pp.175-199

Mathematics

Mathematical Physics

4

Scientific paper

We describe the quantum-group structure of two-dimensional N=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). For d=5, a unitary truncation theorem-similar to the one of the bosonic case-is derived for the fundamental representation.

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