Coherent (spin-)tensor fields on D=4 anti-de Sitter space
نویسندگان
چکیده
The coherent states associated to the discrete series representations D(Eo, s) of SO(3, 2) are constructed in terms of (spin-)tensor fields on D = 4 anti-de Sitter space. For Eo > s + 5 the linear space HEo,s spanned by these states is proved to carry the unitary irreducible representation D(Eo, 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.
منابع مشابه
ar X iv : h ep - t h / 97 05 08 2 v 1 1 3 M ay 1 99 7 Coherent ( spin - ) tensor fields on D = 4 anti - de Sitter space
The coherent states associated to the discrete series 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 H Eo,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 quasi...
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