Supersymmetric SachdevYeKitaev models
We discuss a supersymmetric generalization of the SachdevYeKitaev (SYK) 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 N = 1 model with a single supercharge has unbroken supersymmetry at large N , but nonperturbatively 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 N = 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.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Harvard Univ., Cambridge, MA (United States)
 Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
 Inst. for Advanced Study, Princeton, NJ (United States)
 Harvard Univ., Cambridge, MA (United States); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
 Publication Date:
 Grant/Contract Number:
 SC0009988
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 2; Related Information: A small addendum was made to the original version  see doi 10.1103/PhysRevD.95.069904; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Research Org:
 Inst. for Advanced Study, Princeton, NJ (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC24)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS
 OSTI Identifier:
 1423995
 Alternate Identifier(s):
 OSTI ID: 1339477
Fu, Wenbo, Gaiotto, Davide, Maldacena, Juan, and Sachdev, Subir. Supersymmetric SachdevYeKitaev models. United States: N. p.,
Web. doi:10.1103/PhysRevD.95.026009.
Fu, Wenbo, Gaiotto, Davide, Maldacena, Juan, & Sachdev, Subir. Supersymmetric SachdevYeKitaev models. United States. doi:10.1103/PhysRevD.95.026009.
Fu, Wenbo, Gaiotto, Davide, Maldacena, Juan, and Sachdev, Subir. 2017.
"Supersymmetric SachdevYeKitaev models". United States.
doi:10.1103/PhysRevD.95.026009. https://www.osti.gov/servlets/purl/1423995.
@article{osti_1423995,
title = {Supersymmetric SachdevYeKitaev models},
author = {Fu, Wenbo and Gaiotto, Davide and Maldacena, Juan and Sachdev, Subir},
abstractNote = {We discuss a supersymmetric generalization of the SachdevYeKitaev (SYK) 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 N = 1 model with a single supercharge has unbroken supersymmetry at large N , but nonperturbatively 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 N = 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.},
doi = {10.1103/PhysRevD.95.026009},
journal = {Physical Review D},
number = 2,
volume = 95,
place = {United States},
year = {2017},
month = {1}
}