AdS3/AdS2 degression of Fronsdal fields
Abstract
We analyze the Kaluza-Klein type procedure in AdS3 space called the dimensional degression. The topological theory of the Fronsdal field in AdS3 is reformulated in terms of the fields propagating in AdS2. We find that the Fronsdal field in AdS3 leads to finitely many Kaluza-Klein modes. Namely, the obtained spectrum is the massive Klein-Gordon and Proca fields in AdS2. The result is derived by using the specific mode expansion, the gauge fixing, and 2-dimensional Schouten identities.
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