Nonlinear Supersymmetric General Relativity and Unity of Nature

Nonlinear supersymmetric(NLSUSY) general relativity(GR) is considered and a new fundamental action of the vacuum Einstein-Hilbert(EH)-type is obtained by the Einstein gravity analogue geomtrical arguments on new spacetime inspired by NLSUSY. The new action of NLSUSY GR is unstable and breaks spontaneously to EH action with matter(or New spacetime is unstable and induces spontaneously the phase transition to Riemann spacetime with matter), which may be the real shape of the big bang of the universe and give naturally the unified description of spacetime and matter. Some implications for the low energy particle physics and the cosmology are discussed.Comment: Based on the talk given at International Conference on Quantum Theory and Symmetry, September 9-14, Cincinnati University, Ohio, US

On supersymmetry algebra based on a spinor-vector generator

We study the unitary representation of supersymmetry (SUSY) algebra based on a spinor-vector generator for both massless and massive cases. A systematic linearization of nonlinear realization for the SUSY algebra is also discussed in the superspace formalism with a spinor-vector Grassmann coordinate.Comment: 10 pages, Latex, some typos corrected and some more discussions adde

On chiral symmetry in extended nonlinear supersymmetry

We study the equations of the motion for Nambu-Goldstone (NG) fermions in the nonlinear representation of supersymmetry (NLSUSY) and show in N-extended NLSUSY that those equations under massless conditions are satisfied, provided the NG fermions are chiral eigenstates. The physical significance of the result is discussed in the context of NLSUSY general relativity through the relations between nonlinear and linear SUSY theories, which gives a new insight into the chiral symmetry for the low energy particle physics.Comment: 6 page