Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.
Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
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abstract
The ultraviolet singular structure of the bulk-to-bulk propagators for higher spin gauge fields in $AdS_{4}$ space is analyzed in details. Possible interactions with the Higgs scalar and the corresponding one loop mass renormalization are studied. This mass renormalization is finite and connected with the anomalous dimensions of those currents in the corresponding boundary $CFT_{3}$ that cease to be conserved when the interaction is switched on. In particular it is proportional to $\ell-2$.
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Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$
Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.