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math.GR2025
Holomorphic Discrete Series of SU(1,1): Orthogonality Relations, Character Formulas, and Multiplicities in Tensor Product Decompositions
Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan
The SU group plays a fundamental role in various areas of physics, including quantum mechanics, quantum optics, and representation theory. In this work we revisit the holomo…
gr-qc2025
A unified framework for graviton, "partially massless" graviton, and photon fields in de Sitter spacetime under conformal symmetry
Jean-Pierre Gazeau, Hamed Pejhan
We develop a conformally invariant (CI) framework in -dimensional de Sitter (dS) spacetime, that unifies the descriptions of graviton, ``partially massless'' graviton, and p…