TY - JOUR
T1 - More on supersymmetric and 2d analogs of the SYK model
AU - Murugan, Jeff
AU - Stanford, Douglas
AU - Witten, Edward
N1 - Funding Information:
Open Access, ©c The Authors. Article funded by SCOAP3.
Publisher Copyright:
© 2017, The Author(s).
PY - 2017/8/1
Y1 - 2017/8/1
N2 - 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.
AB - 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.
KW - AdS-CFT Correspondence
KW - Conformal Field Theory
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U2 - 10.1007/JHEP08(2017)146
DO - 10.1007/JHEP08(2017)146
M3 - Article
AN - SCOPUS:85028735110
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 146
ER -