Conformal Bootstrap With Slightly Broken Higher Spin Symmetry

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 ${\gamma }_s$ 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.

41 pages, 2 figures, %\draftmode

References in corpus (6)

• Holography from Conformal Field Theory
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• Writing CFT correlation functions as AdS scattering amplitudes
• Comments on operators with large spin
• Universal anomalous dimensions at large spin and large twist
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