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

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
Correspondent： 宋义生 Email:yisheng.song@cqnu.edu.cn
Submit Time:2021-06-16 06:54:29

Abstract: 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. "

Homogeneous polynomial Copositive tensors symmetric 4th order Tensors

From: 宋义生
Subject: Mathematics >> Mathematical Physics
Cite as: ChinaXiv:202105.00069 (or this version ChinaXiv:202105.00069V2)
DOI:10.12074/202105.00069V2
CSTR:32003.36.ChinaXiv.202105.00069.V2
TXID： 6a604907-6ff9-45b2-80c4-249fecb88555
Recommended references： 宋义生,李旭东.Copositivity for a class of fourth order symmetric tensors given by scalar dark matter.中国科学院科技论文预发布平台.[DOI:10.12074/202105.00069V2] (Click&Copy)

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2021-06-16 06:54:29

ChinaXiv:202105.00069V2

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

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