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arXiv · 1904.07156

Non-vanishing cosmological constant effect in super-Poincare-invariant Universe

Asya V. Aminova·Mikhail Kh. Lyulinsky
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Abstract

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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Asya V. Aminova, Mikhail Kh. Lyulinsky. 2019-04-15. Non-vanishing cosmological constant effect in super-Poincare-invariant Universe. https://arxiv.org/abs/1904.07156

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