Abstract
We point out that there is a simple variant of the SYK model, which we call cSYK, that is SL(2, \( \mathrm{\mathbb{R}} \)) invariant for all values of the coupling. The modification consists of replacing the UV part of the SYK action with a quadratic bilocal term. The corresponding bulk dual is a non-gravitational theory in a rigid AdS2 background. At weak coupling cSYK is a generalized free field theory; at strong coupling, it approaches the infrared of SYK. The existence of this line of fixed points explains the previously found connection between the three-point function of bilinears in these two theories at large q.
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Gross, D.J., Rosenhaus, V. A line of CFTs: from generalized free fields to SYK. J. High Energ. Phys. 2017, 86 (2017). https://doi.org/10.1007/JHEP07(2017)086
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DOI: https://doi.org/10.1007/JHEP07(2017)086