Shift Symmetries and AdS/CFT

23.11.2023 10:00 – 12:00

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. In the alternate
quantization scheme in which the dual conformal field gets the smaller
Δ− conformal dimension, the shift symmetry is realized as a gauge
symmetry in the dual CFT, so that only shift invariant operators are
true conformal primary fields. In the standard quantization scheme the
shift symmetry acts on the source, leading to Ward identities that take
the form of integral constraints.

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Bâtiment: Sciences I

306

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