Conformal defects in AdS host protected displacement and tilt operators that source bulk Goldstone-like modes with wavelength of order the AdS radius.
In that case, the one-point function (56) is produced by the defect R dpxϕ(x), which is the (free limit of) the pinning field defect and has a displacement operator
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Conformal defects and Goldstone bosons in Anti-de Sitter space
Conformal defects in AdS host protected displacement and tilt operators that source bulk Goldstone-like modes with wavelength of order the AdS radius.