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arXiv · 1711.11300

On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit

V. Guru Charan·Shiroman Prakash
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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 $N\gg M$ with the 't Hooft coupling $λ_M =\frac{N}{k_m}$ 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 $λ_M \rightarrow \infty$, which grows with spin as $\log s$ for large $s$, as expected for gauge theories.

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V. Guru Charan, Shiroman Prakash. 2017-12-15. On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit. https://doi.org/10.1007/jhep02(2018)094

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