Non-vanishing cosmological constant effect in super-Poincare-invariant universe
Автор: Aminova A.V., Lyulinsky M. Kh.
Журнал: Пространство, время и фундаментальные взаимодействия @stfi
Рубрика: Гравитация, космология и фундаментальные поля
Статья в выпуске: 3 (28), 2019 года.
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In [1] we defined the Minkowski superspace 𝑆𝑀(4, 4|𝜆, 𝜇) 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 [2] 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|𝜆, 𝜇) is supported by purely fermionic stress-energy supertensor with two free real parameters 𝜆, 𝜇, and, moreover, it has non-vanishing cosmological constant Λ = 12/(𝜆2-𝜇2) defined by these parameters that could mean a new look at the cosmological constant problem
Короткий адрес: https://sciup.org/142224147
IDR: 142224147 | DOI: 10.17238/issn2226-8812.2019.3.11-19
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