超庞加莱不变宇宙中的不消失宇宙常数效应

A. V. Aminova, Mikhail Kh. Lyulinsky
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引用次数: 0

摘要

在\cite{AminMoc}中,我们将Minkowski超空间$SM(4,4\vert \lambda, \mu)$定义为超变换的庞加莱超群的不变量,它是Killing超方程的一个解。本文利用V. P. Akulov和D. V. Volkov \cite{AkVolk}提出的超黎曼几何公式计算了闵可夫斯基超空间的超连接和超曲率。我们证明了闵可夫斯基超空间的曲率不会消失,并且闵可夫斯基超量是爱因斯坦超方程的解,因此八维弯曲的超庞加莱不变量超宇宙$SM(4,4\vert \lambda, \mu)$由具有两个实参数$\lambda$, $\mu$的纯费米子应力-能量超张量支持,并且,它有不消失的宇宙常数$\Lambda=12/(\lambda^2 -\mu^2)$由这些参数定义,这可能意味着对宇宙常数问题的新看法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NON-VANISHING COSMO LOGICAL CONSTANT EFFECT IN SUPER-POINCARE-INVARIANT UNIVERSE
In \cite{AminMoc} we defined the Minkowski superspace $SM(4,4\vert \lambda, \mu)$ as the invariant of the Poincare supergroup of supertransformations, which is a solution of Killing superequations. In the present paper we use formulae of super-Riemannian geometry developed by V.~P. Akulov and D.~V. Volkov \cite{AkVolk} for calculating a superconnection and a supercurvature of Minkowski superspace. We show that the curvature of the Minkowski superspace does not vanish, and the Minkowski supermetric is the solution of the Einstein superequations, so the eight-dimensional curved super-Poincare invariant superuniverse $SM(4,4\vert \lambda, \mu)$ is supported by purely fermionic stress-energy supertensor with two real parameters $\lambda$, $\mu$, and, moreover, it has non-vanishing cosmological constant $\Lambda=12/(\lambda^2 -\mu^2)$ defined by these parameters that could mean a new look at the cosmological constant problem.
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