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arXiv · 1706.07015

A line of CFTs: from generalized free fields to SYK

David J. Gross·Vladimir Rosenhaus
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Abstract

We point out that there is a simple variant of the SYK model, which we call cSYK, that is $SL(2,R)$ 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 AdS$_2$ 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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David J. Gross, Vladimir Rosenhaus. 2017-10-23. A line of CFTs: from generalized free fields to SYK. https://doi.org/10.1007/jhep07(2017)086

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