4 papers
Representations of the D=2 Euclidean and Poincaré groups
Giovanni Camilletti, María A. Lledó, Mariano A. del Olmo
We present an explicit construction of the unitary irreducible representations of the two-dimensional Euclidean and Poincaré groups, together with their Spin double covers, by mean…
Gelfand Triplets, Continuous and Discrete Bases and Legendre Polynomials
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
We consider a basis of square integrable functions on a rectangle, contained in , constructed with Legendre polynomials, suitable, for instance, for the analogical description…
A Novel Holographic Framework Preserving Reflection Positivity in dS Spacetime
Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan
This manuscript introduces a novel holographic correspondence in -dimensional de Sitter (dS) spacetime, connecting bulk dS scalar unitary irreducible representations (UI…
Anti-de Sitterian "massive" elementary systems and their Minkowskian and Newton-Hooke contraction limits
Mohammad Enayati, Jean-Pierre Gazeau, Mariano A. del Olmo +1
We elaborate the definition and properties of "massive" elementary systems in the -dimensional Anti-de Sitter (AdS) spacetime, on both classical and quantum levels. We f…