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Higher Spin Holography, RG, and the Light Cone

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arxiv 1411.3151 v1 pith:NP4AZEYT submitted 2014-11-12 hep-th

classification hep-th
keywords theorybulkfieldfieldshigherlinearizedperturbationsproblems
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We revisit the derivation of higher spin bulk theory using the renormalization group in the dual field theory. We argue that existing proposals have problems already at the level of linearized perturbations on AdS. This is due to the form of the cutoff, which must act on bilinears in the fundamental fields rather than on the fields themselves. For the light-cone collective field theory, we show that the RG produces the correct linearized perturbations. We relate this to the precursor formula of de Mello Koch, Jevicki, Jin and Rodrigues, and we also elaborate on that result. The covariant RG and bulk interactions remain problems for the future.

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  1. Yang-Mills interaction from boundary vector model

    hep-th 2025-04 conditional novelty 6.0 of 10

    The ERG flow of the USp(2N) singlet sector of a free 3D U(2N) scalar theory yields a bulk AdS4 cubic action that is on-shell equivalent to Yang-Mills plus a field-strength-cubed term.

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