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arxiv: 1103.3625 · v3 · submitted 2011-03-18 · ✦ hep-th · cond-mat.stat-mech

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Conformal symmetry in non-local field theories

M. A. Rajabpour
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classification ✦ hep-th cond-mat.stat-mech
keywords fieldclassconformalnon-localsymmetrytheoryarbitrarycounterpart
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We have shown that a particular class of non-local free field theory has conformal symmetry in arbitrary dimensions. Using the local field theory counterpart of this class, we have found the Noether currents and Ward identities of the translation, rotation and scale symmetries. The operator product expansion of the energy-momentum tensor with quasi-primary fields is also investigated.

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  1. Protected operators in non-local defect CFTs from AdS

    hep-th 2026-05 unverdicted novelty 7.0

    Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.