More on supersymmetric and 2d analogs of the SYK model
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Publication:1700196
DOI10.1007/JHEP08(2017)146zbMATH Open1381.81121arXiv1706.05362MaRDI QIDQ1700196
Author name not available (Why is that?)
Publication date: 2 March 2018
Published in: (Search for Journal in Brave)
Abstract: In this paper, we explore supersymmetric and 2d analogs of the SYK model. We begin by working out a basis of (super)conformal eigenfunctions appropriate for expanding a four-point function. We use this to clarify some details of the 1d supersymmetric SYK model. We then introduce new bosonic and supersymmetric analogs of SYK in two dimensions. These theories consist of fields interacting with random -field interactions. Although models built entirely from bosons appear to be problematic, we find a supersymmetric model that flows to a large CFT with interaction strength of order one. We derive an integral formula for the four-point function at order , and use it to compute the central charge, chaos exponent and some anomalous dimensions. We describe a problem that arises if one tries to find a 2d SYK-like CFT with a continuous global symmetry.
Full work available at URL: https://arxiv.org/abs/1706.05362
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