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- W3204376077 abstract "A bstract We study a 3d/2d dimensional degression which is a Kaluza-Klein type mechanism in AdS 3 space foliated into AdS 2 hypersurfaces. It is shown that an AdS 3 massless particle of spin s = 1 , 2 , … , ∞ degresses into a couple of AdS 2 particles of equal energies E = s . Note that the Kaluza-Klein spectra in higher dimensions are always infinite. To formulate the AdS 3 /AdS 2 degression we consider branching rules for AdS 3 isometry algebra o(2,2) representations decomposed with respect to AdS 2 isometry algebra o(1,2). We find that a given o(2,2) higher-spin representation lying on the unitary bound (i.e. massless) decomposes into two equal o(1,2) modules. In the field-theoretical terms, this phenomenon is demonstrated for spin-2 and spin-3 free massless fields. The truncation to a finite spectrum can be seen by using particular mode expansions, (partial) diagonalizations, and identities specific to two dimensions." @default.
- W3204376077 created "2021-10-11" @default.
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- W3204376077 date "2021-09-29" @default.
- W3204376077 modified "2023-09-25" @default.
- W3204376077 title "AdS3/AdS2 degression of massless particles" @default.
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- W3204376077 doi "https://doi.org/10.1007/jhep09(2021)198" @default.
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