Kanazawa, Takuya and Wettig, Tilo (2017) Complete random matrix classification of SYK models with N=0, 1 and 2 supersymmetry. JOURNAL OF HIGH ENERGY PHYSICS (9): 050. ISSN 1029-8479,
Full text not available from this repository. (Request a copy)Abstract
We present a complete symmetry classification of the Sachdev-Ye-Kitaev (SYK) model with N = 0, 1 and 2 supersymmetry (SUSY) on the basis of the Altland-Zirnbauer scheme in random matrix theory (RMT). For N = 0 and 1 we consider generic q-body interactions in the Hamiltonian and find RMT classes that were not present in earlier classifications of the same model with q = 4. We numerically establish quantitative agreement between the distributions of the smallest energy levels in the N = 1 SYK model and RMT. Furthermore, we delineate the distinctive structure of the N = 2 SYK model and provide its complete symmetry classification based on RMT for all eigenspaces of the fermion number operator. We corroborate our classification by detailed numerical comparisons with RMT and thus establish the presence of quantum chaotic dynamics in the N = 2 SYK model. We also introduce a new SYK-like model without SUSY that exhibits hybrid properties of the N = 1 and N = 2 SYK models and uncover its rich structure both analytically and numerically.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QCD DIRAC OPERATOR; STATISTICAL THEORY; SPECTRUM EDGE; ENERGY LEVELS; EIGENSTATE THERMALIZATION; TOPOLOGICAL INSULATORS; SYMMETRY CLASSES; CHIRAL-SYMMETRY; ZERO VIRTUALITY; QUANTUM CHAOS; Random Systems; AdS-CFT Correspondence; Matrix Models; Supersymmetry Breaking |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:15 |
| Last Modified: | 21 Mar 2019 16:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1185 |
Actions (login required)
 |
View Item |
