Nonlinear Supersymmetric General Relativity

Mathematics – Logic

Scientific paper

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Nonlinear Supersymmetry, Nambu-Goldstone Fermion, General Relativity, Spontaneously Broken Linear Super Symmetry

Scientific paper

We introduce Nonlinear Supersymmetric General Relativity (NLSUSY GR) byextending the geometrical arguments of Einstein GR on Riemann spacetime to a new spacetime just inspired NLSUSY. We construct an Einstein-Hilbert (EH)-type NLSUSY GR action in the new spacetime and explain spontaneous decays (Big Decay) of spacetime to the ordinary Riemann spacetime described by the EH action coupled with massless Nambu-Goldstone fermions (superon matter). Spontaneously broken linear SUSY (renormalizable interacting) theories which are equivalent to NLSUSY GR in asymptotic Riemann-flat spacetime are shown explicitly and the cosmological implications of NLSUSY GR are discussed.

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