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

URN to cite this document:: urn:nbn:de:bvb:355-epub-371888
DOI to cite this document:: 10.5283/epub.37188

Kanazawa, Takuya ; Wettig, Tilo

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Date of publication of this fulltext: 24 Apr 2018 13:36

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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 ...