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arXiv · 1506.04659

Conformal Bootstrap With Slightly Broken Higher Spin Symmetry

Luis F. Alday·Alexander Zhiboedov
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Abstract

We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents $γ_s$ with large spin $s$. The result depends on the symmetries and the spectrum of the unperturbed conformal field theory. We reproduce all known results and make further predictions. In particular we make a prediction for the anomalous dimensions of higher spin currents in the 3d Ising model.

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Luis F. Alday, Alexander Zhiboedov. 2015-06-16. Conformal Bootstrap With Slightly Broken Higher Spin Symmetry. https://doi.org/10.1007/jhep06(2016)091

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