Shift Symmetries and AdS/CFT

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. In the alternate quantization scheme in which the dual conformal field gets the smaller ${\Delta }_{-}$ 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.

39 pages, 1 figure. v2 modified conclusions about standard quantization, version appearing in JHEP

References in corpus (11)

• Resummation of Massive Gravity
• Effective Field Theories from Soft Limits
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• A Periodic Table of Effective Field Theories
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Exceptional scalar theories in de Sitter space
• Aspects of AdS flux vacua with integer conformal dimensions
• Mass spectrum of type IIB flux compactifications -- comments on AdS vacua and conformal dimensions
• Enhanced Soft Limits in de Sitter Space
• Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS
• Notes on Relevant, Irrelevant, Marginal and Extremal Double Trace Perturbations

Cited by in corpus (1)

• Hidden Conformal Symmetry of the Discrete Series Scalars in dS${}_2$