On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit

VG Charan, S Prakash - Journal of High Energy Physics, 2018 - Springer
VG Charan, S Prakash
Journal of High Energy Physics, 2018Springer
A bstract In this note, we compute the higher spin spectrum of U (M) k Chern-Simons theory
coupled to N flavours of fundamental fermions, in the limit N≫ M with the't Hooft
coupling\({\lambda} _M=\frac {N}{k_m}\) held fixed, to order M/N. This theory possesses a
slightly broken higher spin symmetry, and may be of interest from the perspective of higher-
spin and non-supersymmetric holography. We find that anomalous dimensions of the higher
spin currents achieve a finite value at strong coupling λ M→∞, which grows with spin as log …
Abstract
In this note, we compute the higher spin spectrum of U (M) k Chern-Simons theory coupled to N flavours of fundamental fermions, in the limit N≫ M with the’t Hooft coupling held fixed, to order M/N. This theory possesses a slightly broken higher spin symmetry, and may be of interest from the perspective of higher-spin and non-supersymmetric holography. We find that anomalous dimensions of the higher spin currents achieve a finite value at strong coupling λ M→∞, which grows with spin as log s for large s, as expected for gauge theories.
Springer
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