More on supersymmetric and 2d analogs of the SYK model View Full Text


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Article Info

DATE

2017-08

AUTHORS

Jeff Murugan, Douglas Stanford, Edward Witten

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 N fields interacting with random q-field interactions. Although models built entirely from bosons appear to be problematic, we find a supersymmetric model that flows to a large N CFT with interaction strength of order one. We derive an integral formula for the four-point function at order 1/N , 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. More... »

PAGES

146

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  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep08(2017)146

    DOI

    http://dx.doi.org/10.1007/jhep08(2017)146

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    https://app.dimensions.ai/details/publication/pub.1091419097


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