A line of CFTs: from generalized free fields to SYK

DOI10.1007/JHEP07(2017)086zbMATH Open1380.81323arXiv1706.07015OpenAlexW3102501533MaRDI QIDQ1696292

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Publication date: 14 February 2018

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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 $q$.

Full work available at URL: https://arxiv.org/abs/1706.07015

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