1999/07/31 by John Madore, J Madore, Harold Steinacker +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #Homotopy and Cohomology in Algebraic Topology #hep-th #math.QA
paper · pdf · doi:10.1088/0305-4470/33/2/309
published as J.Phys.A33:327-342,2000 · 21 pages, LaTeX. 2nd order term in the cross-product included, 1 reference added. To appear in Journal of Physics A: Mathematical and General
arxiv created 1999/12/07 · openalex publication_date 1999/12/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
The action of the isometry algebra U h ( sl (2)) on the h -deformed Lobachevsky plane is found. The invariant distance and the invariant two-point functions are shown to agree precisely with the classical ones. The propagator of the Laplacian is calculated explicitly. It is invariant only after adding a `non-classical' sector to the Hilbert space.