TY - JOUR
T1 - Anomalous dimensions in CFT with weakly broken higher spin symmetry
AU - Giombi, Simone
AU - Kirilin, Vladimir
N1 - Publisher Copyright:
© 2016, The Author(s).
PY - 2016/11/1
Y1 - 2016/11/1
N2 - 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.
AB - 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.
KW - AdS-CFT Correspondence
KW - Conformal Field Theory
KW - Higher Spin Symmetry
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U2 - 10.1007/JHEP11(2016)068
DO - 10.1007/JHEP11(2016)068
M3 - Article
AN - SCOPUS:84994893536
SN - 1126-6708
VL - 2016
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 11
M1 - 68
ER -