79 research outputs found
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
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