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Spatial Separation of Molecular Conformers and Clusters
Published on: January 9, 2014
Conformal Defects and Goldstone Bosons in Anti-de Sitter Space
Lorenzo Bianchi1, Elia de Sabbata2, Marco Meineri1
1INFN-Sezione di Torino, Università di Torino, Dipartimento di Fisica, Via P. Giuria 1, 10125 Torino, Italy.
Abstract:
We study local quantum field theories in anti-de Sitter (AdS) space, with boundary conditions that break some of the bulk isometries. Specifically, we focus on conformal defects and we prove that their spectrum supports a displacement operator of protected dimension, despite the nonlocal nature of the conformal theory living at the boundary of AdS. If the defect breaks a global symmetry, a tilt operator is also present. The existence of a displacement was conjectured in Gabai et al. [J. High Energy Phys. 06 (2026) 029JHEPFG1029-847910.1007/JHEP06(2026)029] for Wilson loops in Yang-Mills theories in AdS. Our proof is valid in general and applies, in particular, to defects in long-range models, as we discuss in various examples. In the bulk, the modes sourced by the protected operators have Compton wavelength of order of the AdS radius: they constitute the AdS analogue of the Goldstone bosons for the spontaneous breaking of the corresponding symmetries.
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