Higher Spin vs. Renormalization Group Equations
High Energy Physics - Theory
2015-06-16 v2
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 for a certain subset of couplings. In the large N limit this equivalence extends to the quantum theory away from the conformal fixed points.
Cite
@article{arxiv.1306.6654,
title = {Higher Spin vs. Renormalization Group Equations},
author = {Ivo Sachs},
journal= {arXiv preprint arXiv:1306.6654},
year = {2015}
}
Comments
substantial revision, now includes manifestly higher spin symmetric treatment of non-linear RG-flows