Abstract
In a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this method to the explicit example of O(N) invariant scalar field theories in various dimensions, including the large N critical O(N) model in general d, the Wilson-Fisher fixed point in d = 4 − ϵ, cubic scalar models in d = 6 − ϵ and the nonlinear sigma model in d = 2 + ϵ. Using information from the d = 4 − ϵ and d = 2 + ϵ expansions, we obtain some estimates for the dimensions of the higher spin operators in the critical 3d O(N) models for a few low values of N and spin.
Original language | English (US) |
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Article number | 68 |
Journal | Journal of High Energy Physics |
Volume | 2016 |
Issue number | 11 |
DOIs | |
State | Published - Nov 1 2016 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Keywords
- AdS-CFT Correspondence
- Conformal Field Theory
- Higher Spin Symmetry