N = (0;2) SYK, chaos and higher-spins

被引:0
作者
Peng, Cheng [1 ]
机构
[1] Brown Univ, Dept Phys, Providence, RI 02912 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 12期
关键词
1/N Expansion; Extended Supersymmetry; Higher Spin Symmetry; Conformal Field Theory; COMPLETE 1/N EXPANSION; TENSOR-MODELS; LIMIT;
D O I
10.1007/JHEP12(2018)065
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study a 2-dimensional SYK-like model with N= supersymmetry. The model describes N chiral supermultiplets and M Fermi supermultiplets with a (q + 1)- field interaction. We solve the model analytically and numerically in the N >> 1, M >> 1 limit with being a free parameter. Two distinct higher-spin symmetries emerge when the parameter approaches the two ends of its range. This is verified by the appearance of conserved higher-spin operators and the vanishing of chaotic behaviors in the two limits. Therefore this model provides a manifest realization of the widely believed connection between SYK-like models and higher-spin theories. In addition, as the parameter varies we find the largest Lyapunov exponent of this model to be slightly larger than that in models with non-chiral supersymmetry.
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页数:42
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