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Higher Spin vs. Renormalization Group Equations

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arxiv 1306.6654 v2 pith:UGUF2OSD submitted 2013-06-27 hep-th

Ivo Sachs This is my paper · ORCID
classification hep-th
keywords equationsgrouphigherrenormalizationspintheoryattemptsaway
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abstract

We present a variation of earlier attempts to relate renormalization group equations to higher spin equations. We work with a scalar field theory in 3 dimensions. In this case we show that the classical renormalization group equation is a variant of the Vasiliev higher spin equations with Kleinians on AdS$_4$ for a certain subset of couplings. In the large N limit this equivalence extends to the quantum theory away from the conformal fixed points.

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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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