The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Supersymmetric Sachdev-Ye-Kitaev models
Open accessAbstract
We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev (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 $\mathcal{N}=1$ 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 $\mathcal{N}=2$ 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.
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Cites
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Remarks on the Sachdev-Ye-Kitaev model
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Self-citationConformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
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Cited by
Davison, R. A., Fu, W., Georges, A., Gu, Y., Jensen, K., & Sachdev, S. (2017) · Physical Review B · doi:10.1103/physrevb.95.155131 · Cited by 438
Self-citationSolving the Schwarzian via the conformal bootstrap
Mertens, T. G., Turiaci, G. J., & Verlinde, H. L. (2017) · Journal of High Energy Physics · doi:10.1007/jhep08(2017)136 · Cited by 357
Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models
Klebanov, I. R., & Tarnopolsky, G. (2017) · Physical Review D · doi:10.1103/physrevd.95.046004 · Cited by 336
(2017) · Institutional Repositories DataBase (IRDB) · Cited by 323
A generalization of Sachdev-Ye-Kitaev
Gross, D. J., & Rosenhaus, V. (2017) · Journal of High Energy Physics · doi:10.1007/jhep02(2017)093 · Cited by 317
Metadata
- Authors
- Fu, W., Gaiotto, D., Maldacena, J., & Sachdev, S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2017-01-13
- Volume
- 95
- Issue
- 2
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2587315384
- Cited by
- 334
- References
- 31
- FWCI
- 25.20
- Type
- journal article
- Language
- en
- Open access
- bronze
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