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arXiv · hep-th/9705082

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

A. Yu. Segal·A. A. Sharapov
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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 ${\cal H}_{E_o,s}$ 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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A. Yu. Segal, A. A. Sharapov. 1997-05-13. Coherent (spin-)tensor fields on D=4 anti-de Sitter space. https://doi.org/10.1088/0264-9381%2F16%2F11%2F304

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