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

被引：1
|
作者：
Segal, AY
Sharapov, AA
机构：
[1] PN Lebedev Phys Inst, Moscow 117924, Russia
[2] Tomsk State Univ, Dept Phys, Tomsk 634050, Russia
来源：
CLASSICAL AND QUANTUM GRAVITY | 1999年 / 16卷 / 11期
关键词：
D O I：
10.1088/0264-9381/16/11/304
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The coherent slates associated to the discrete series representations D(E-0, s) of SO(3, 2) are constructed in terms of (spin-)tensor fields on D = 4 anti-de Sitter space. For E-0 > s + 5 the linear space H-E0,s spanned by these states is proved to carry the unitary irreducible representation D(E-0, s). The SO(3, 2)-covariant generalized Fourier transform in this space is exhibited. The quasiclassical properties of the coherent stales are analysed. In particular, these states are shown to be localized on the timelike geodesics of anti-de Sitter space.
引用
收藏
页码：3483 / 3496
页数：14
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