Coherent (spin-)tensor fields on D=4 anti-de Sitter space

Abstract

The coherent states associated to the discrete serie representations $D(E_o,s)$ of $SO(3,2)$ are constructed in terms of (spin-)tensor fields on $D=4$ anti-de Sitter space. For $E_o>s+5$ the linear space ${\mathcal{H}}_{E_o,s}$ spanned by these states is proved to carry the unitary irreducible representation $D(E_o,s)$. The $SO(3,2)$-covariant generalized Fourier transform in this space is exhibited. The quasiclassical properties of the coherent states are analyzed. In particular, these states are shown to be localized on the time-like geodesics of anti-de Sitter space.

15 pages, LaTeX

References in corpus (2)

• Gauge Theory Correlators from Non-Critical String Theory
• Phase Space Quantum Mechanics on the Anti-De Sitter Spacetime and its Poincaré Contraction

Cited by in corpus (1)

• On Singleton Composites in Non-compact WZW Models