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Higher Spin vs. Renormalization Group Equations

2013/06/30 by Ivo Sachs · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.90.085003

substantial revision, now includes manifestly higher spin symmetric treatment of non-linear RG-flows

arxiv created 2014/03/21 · arxiv updated 2015/06/16

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 AdS4 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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