A Yu Segal and A A Sharapov 1999 Class. Quantum Grav. 16 3483 doi:10.1088/0264-9381/16/11/304
Coherent (spin-)tensor fields on D = 4 anti-de Sitter space
A Yu Segal
and A A Sharapov
The coherent states associated to the discrete series representations D(E0,s) of SO(3,2) are constructed in terms of (spin-)tensor fields on D = 4 anti-de Sitter space. For E0>s+5 the linear space 
E0,s spanned by these states is proved to carry the unitary irreducible representation D(E0,s). The SO(3,2)-covariant generalized Fourier transform in this space is exhibited. The quasiclassical properties of the coherent states are analysed. In particular, these states are shown to be localized on the timelike geodesics of anti-de Sitter space.
- PACS
- MSC
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83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
81Txx Quantum field theory; related classical field theories (See also 70Sxx)
- Subjects
- Dates
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Issue 11 (November 1999)
Received 9 March 1999
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Coherent (spin-)tensor fields on D = 4 anti-de Sitter space
A Yu Segal and A A Sharapov 1999 Class. Quantum Grav. 16 3483
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