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Complete random matrix classification of SYK models with N = 0,1 and 2 supersymmetry

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Kanazawa, Takuya ; Wettig, Tilo
Date of publication of this fulltext: 24 Apr 2018 13:36


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 ...


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