Conformal defects in AdS host protected displacement and tilt operators that source bulk Goldstone-like modes with wavelength of order the AdS radius.
Since the charge is topological, the pinching can be avoided and the result must be finite
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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.