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# Copositivity for a class of fourth order symmetric tensors given by scalar dark matter

Submit Time: 2021-06-16
Author: 宋义生 1,2 ; 李旭东 2 ;
Institute: 1.重庆师范大学; 2.河南师范大学;

## Abstracts

 In this paper, we mainly discuss the copositivity of 4th order symmetric tensor defined by scalar dark matter stable under a $\mathbb{Z}_{3}$ discrete group, and obtain an analytically necessary and sufficient condition of the copositivity of such a class of tensors. Furthermore, this analytic expression may be used to verify the vacuum stability for $\mathbb{Z}_{3}$ scalar dark matter.
From: 宋义生
DOI：10.12074/202105.00069
Recommended references： 宋义生,李旭东.(2021).Copositivity for a class of fourth order symmetric tensors given by scalar dark matter.[ChinaXiv:202105.00069] (Click&Copy)
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