NON-VANISHING COSMOLOGICAL CONSTANT EFFECT IN SUPER-POINCARE-INVARIANT UNIVERSE
Aminova A.V., Lyulinsky M.Kh.
In  we defined the Minkowski superspace \(SM(4,4|\lambda,\mu)\) 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  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 \(SM(4,4|\lambda,\mu)\) is supported by purely fermionic stress-energy supertensor with two free 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.
Keywords: supersymmetry, Minkowski superspace \(SM(4,4|\lambda,\mu)\), Einstein superequations, cosmological constant.
UDC: 53: 52: 514.8
PACS: 11.30.Pb, 12.60.Jv
Please cite this article in English as: Aminova A.V., Lyulinsky M.Kh. Non-vanishing cosmological constant effect in super-Poincare-invariant Universe. Space, Time and Fundamental Interactions, 2019, no. 3, pp. 11-19.