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

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

1997-05-13

arxiv.org/abs/hep-th/9705082v1

Class.Quant.Grav. 16 (1999) 3483-3496

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX

Scientific paper

10.1088/0264-9381/16/11/304

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 ${\cal H}_{E_o,s}$ 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.

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