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arXiv 2103.11899hep-th
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关于一维N = 4超对称SYK型模型(I)

On 1D, N = 4 Supersymmetric SYK-Type Models (I)

S. James Gates,, Yangrui Hu, S. -N. Hazel Mak

摘要:

建议描述1D,N = 4超对称系统,扩展SYK模型紧从4D,N = 1超对称拉格朗日手征,矢量和张量超多重态。四次费米子顶点通过在整个超空间上的积分产生,而2(q-1)点费米子顶点通过超势产生。超场拉氏量中的耦合常数是任意的,并且可以选择为高斯随机的。在这种情况下,这些1D,N = 4的超对称SYK模型将表现出Wishart-Laguerre随机性,这与文献中的其他1D超对称SYK模型具有相同的特征。与1D,N = 1和N = 2模型的一个区别是,我们的模型包含动力学玻色子,但这与文献中的其他1D,N = 4和2D,N = 2模型是一致的。增加了对偶性和可能的镜像对称实现这些模型的说明。

英文摘要:

Proposals are made to describe 1D, N = 4 supersymmetrical systems that extend SYK models by compactifying from 4D, N = 1 supersymmetric Lagrangians involving chiral, vector, and tensor supermultiplets. Quartic fermionic vertices are generated via integrals over the whole superspace, while 2(q-1)-point fermionic vertices are generated via superpotentials. The coupling constants in the superfield Lagrangians are arbitrary, and can be chosen to be Gaussian random. In that case, these 1D, N = 4 supersymmetric SYK models would exhibit Wishart-Laguerre randomness, which share the same feature among other 1D supersymmetric SYK models in literature. One difference with 1D, N = 1 and N = 2 models though, is our models contain dynamical bosons, but this is consistent with other 1D, N = 4 and 2D, N = 2 models in literature. Added conjectures on duality and possible mirror symmetry realizations on these models is noted.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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