Fu, WenboGaiotto, DavideMaldacena, JuanSachdev, Subir2017-11-152017Fu, Wenbo, Davide Gaiotto, Juan Maldacena, and Subir Sachdev. 2017. “Supersymmetric Sachdev-Ye-Kitaev Models.” Physical Review D 95 (2) (January 13). doi:10.1103/physrevd.95.026009.2470-0010http://nrs.harvard.edu/urn-3:HUL.InstRepos:34361424We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev model. These are quantum mechanical models involving N Majorana fermions. The supercharge is given by a polynomial expression in terms of the Majorana fermions with random coefficients. The Hamiltonian is the square of the supercharge. The =1 model with a single supercharge has unbroken supersymmetry at large N, but non-perturbatively spontaneously broken supersymmetry in the exact theory. We analyze the model by looking at the large N equation, and also by performing numerical computations for small values of N. We also compute the large N spectrum of "singlet" operators, where we find a structure qualitatively similar to the ordinary SYK model. We also discuss an =2 version. In this case, the model preserves supersymmetry in the exact theory and we can compute a suitably weighted Witten index to count the number of ground states, which agrees with the large N computation of the entropy. In both cases, we discuss the supersymmetric generalizations of the Schwarzian action which give the dominant effects at low energies.en-USJournal Article2017-11-1510.1103/PhysRevD.95.026009