15 citations · 160 across the 29 of their papers we have counts for
9 papers · 1 filter
Araki Cohomology of the de Sitter Scalar Discrete Series
Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan +1
Building on the recently established de Sitter (dS)-covariant indecomposable Krein realization of the scalar discrete-series unitary irreducible representations , $p=1,2,\…
de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography
Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan
We show that scalar discrete-series unitary irreducible representations (UIRs) () of the de Sitter (dS) group admit a dS-covariant Krei…
Massless Representations in Conformal Space and Their de Sitter Restrictions
Jean-Pierre Gazeau, Hamed Pejhan, Ivan Todorov
The monograph offers a coherent and self-contained treatment of massless (ladder) representations of the conformal group U(2,2) and their restriction to the de Sitter group Sp(2,2)…
Matrix Elements and Characters of the Discrete Series ("Massive") Unitary Irreducible Representations of Sp(4,R)
Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan
This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp group. With an isomorphic relation…
de Sitter Relativity Group
Hamed Pejhan
Building upon the comprehensive framework outlined in the author's recent collaborative book, this manuscript delivers a brief overview of the -dimensional de Sitter (dS)…
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…
The de Sitter group and its representations: a window on the notion of de Sitterian elementary systems
Mohammad Enayati, Jean-Pierre Gazeau, Hamed Pejhan +1
We review the construction of ("free") elementary systems in de Sitter (dS) spacetime, in the Wigner sense, as associated with unitary irreducible representations (UIR's) of the dS…
Casimir Effect For a Scalar Field via Krein Quantization
H. Pejhan, M. Reza Tanhayi, M. V. Takook
In this work, we present a rather simple method to study the Casimir effect on a spherical shell for a massless scalar field with Dirichlet boundary condition by applying the indef…