Supersymmetric SYK models
Supersymmetric SYK models
复制标题
超对称SYK模型
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
S. Sachdev
中科院分区：
文献类型：
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作者：
Wenbo Fu;D. Gaiotto;J. Maldacena;S. Sachdev
我们讨论了Sachdev-Ye-Kitaev模型的超对称推广。这些是涉及N马约拉纳费米子的量子力学模型。超荷由随机系数的马约拉纳费米子的多项式表示。哈密顿量是超荷的平方。具有单个超荷的N = 1模型在大N时具有未破缺的超对称性，但在精确理论中具有非微扰自发破缺的超对称性。我们分析的模型，看看大N方程，也通过执行数值计算的小值N。我们还计算了大N谱的“单态”运营商，在那里我们发现一个结构定性类似于普通SYK模型。我们还讨论了N = 2的版本。在这种情况下，该模型保留了精确理论中的超对称性，并且我们可以计算适当加权的维滕指数来计算基态的数量，这与熵的大N计算一致。在这两种情况下，我们讨论的超对称推广的施瓦茨行动，在低能量的主导作用。1 ar X iv：1610. 08 91 7v 3 [ he pth ] 4 M ar 2 01 7
We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev 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 N = 1 model with a single supercharge has unbroken supersymmetry at large N , but non-perturbatively 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 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. 1 ar X iv :1 61 0. 08 91 7v 3 [ he pth ] 4 M ar 2 01 7
影响因子：
8.6
作者：
Huijse, Liza;Halverson, James;Schoutens, Kareljan
通讯作者：
Schoutens, Kareljan