This talk was recorded at the 2nd International Conference on
Holography and its Applications
(ICHA2 2023)

Abstract: Massive fields on anti-de Sitter (AdS) space enjoy Galileon-like shift symmetries at
particular values of their masses. We explore how these shift symmetries are realized through
the boundary conformal field theory (CFT), at the level of the 2-point functions. The shift
symmetry is preserved in the alternate quantization scheme in which the dual conformal field
gets the smaller Δ− conformal dimension, while in the standard quantization scheme the shift
symmetry is broken. The shift symmetry is realized as a gauge symmetry in the dual CFT, so
that only shift invariant operators are true conformal primary fields.


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