arXiv subjects
Publications and source records attributed to Kazunari Shima.
The geometrical argument of the general relativity principle of Einstein is formulated in unstable Riemann space-time just inspired by the nonlinear representation of supersymmetry, which produces new Einstein-Hilbert type action.
The geometric argument of the general relativity principle can be carried out on (unstable) Riemann space-time just inspired by nonlinear representation of supersymmetry(NLSUSY), where tangent space is specified by Grassmann degrees of freedom $ψ$ for SL(2,C) besides the ordinary Minkowski one $x^{a}$ for SO(1,3) and gives straightforwardly new Einstein-Hilbert(EH)-type action with global NLSUSY invariance(NLSUSYGR)) equipped with the cosmological term. Due to the NLSUSY nature of space-time NLSUSYGR would collapse(Big Collapse) spontaneously to ordinary E-H action of graviton, NLSUSY action of Nambu-Goldstone fermion $ψ$ and their gravitational interaction. Simultaneously the universal attractive gravitational force would constitute the NG fermion-composites corresponding to the eigenstates of liner-SUSY(LSUSY) super-Poincaré(sP) symmetry of space-time, which gives a new paradigm for the unification of space-time and matter, which can . bridge naturally the cosmology and the low energy particle physics and provides new insights into unsolved problems of cosmology, SM and mysterious relations between them, e.g. the space-time dimension {\it four}, the origin of SUSY breaking, the dark energy and dark matter, the dark energy density$\sim$( neutrino mass$)^{4}$, the tiny neutrino mass, the three-generations structure of quarks and leptons, the rapid expansion of space-time, the magnitude of bare gauge coupling constant, etc..
We discuss a closure of commutator algebras for general functionals in terms of Nambu-Goldstone fermions and their derivative terms under nonlinear supersymmetry (NLSUSY) both in flat spacetime and in curved spacetime. We point out that variations of functionals for vector supermultiplets (uniquely) determine general LSUSY transformations for linear vector supermutiplets with general auxiliary fields in extended SUSY, where the closure of the commutator algebras for NLSUSY plays a crucial role.
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.
The exact classical solution of the equation of the motion for the Nambu-Goldstone fermion of the nonlinear representation of supersymmetry and its physical significance are discussed, which gives a new insight into the chiral symmetry of the standard model for the low energy particle physics.
We discuss composite representations of new supersymmetry (SUSY) algebra under nonlinear (NL) SUSY transformations in curved space-time from the viewpoint of nonlinear supersymmetric general relativity (NLSUSY GR)/ SGM scenario. We show in the linearization of NLSUSY how various basic fields in linear SUSY theories/supergravity are expressed as functionals in terms of a vierbein and Nambu-Goldstone fermion fundamental fields in NLSUSY GR.
We show some consequences of the nonlinear supersymmetric general relativity (NLSUSYGR) theory on particle physics, cosmology and their relations. They may give new insights into the SUSY breaking mechanism, dark energy, dark matter and the low enegy superpartner particles which are compatible with the recent LHC data.
We show in (1+2) dimensions that supersymmetric (SUSY) BF action for a (minimal and off-shell) spin-(1,3/2) supermultiplet is a unique SUSY invariant one required from the closure property of commutator algebra for SUSY transformations.
We show in two dimensional space-time (d = 2) the relation between a N = 2 nonlinear supersymmetric (NLSUSY) model and a N = 2 linear (L) SUSY Yang-Mills (SYM) theory with matter (N = 2 LSUSY QCD theory). We give a new interpretation of four Nambu-Goldstone fermion (superon) contact terms, which emerge from a N = 2 general SUSY QCD (composite) action, as mass terms for LSUSY supermultiplets and discuss the possible SUSY breaking mechanism in NL/L SUSY relation for SUSY gauge theories in d = 2.
The mysterious relation between the large scale structure of the universe and the tiny (Planck) scale structure of the particle physics, e.g. the observed mysterious relation between the (dark) energy density (and the dark matter) of the universe and the origin of the tiny neutrino mass (and the SUSY breaking mass scale) of the particle physics may be explained simply by the nonlinear supersymmmetric general relativity theory (NLSUSY GR).
We discuss explicitly the details and some remarkable physical consequences of the NL/L SUSY relation between N = 2 LSUSY QED and N = 2 NLSUSY in two-dimensional space-time, which may show the potential of the SUSY composite model for the theory of everything beyond the SM.
The relation between a nonlinear supersymmetic (NLSUSY) theory and a SUSY Yang-Mills (SYM) theory is studied for N = 3 SUSY in two-dimensional space-time. We explicitly show the NL/L SUSY relation for the (pure) SYM theory by means of cancellations among Nambu-Goldstone fermion self-interaction terms.
We point out the possibility that the magnitude of the bare gauge coupling constant is determined theoretically in a composite model of all particles in SUSY theories. We show explicitly in two space-time dimensions that the NL/L SUSY relation (i.e., a SUSY compositeness condition for all particles) between N = 2 LSUSY QED and N = 2 NLSUSY determines the magnitude of the bare electromagnetic coupling constant (i.e., the fine structure constant) of N = 2 LSUSY QED.
We study in two space-time dimensions (d = 2) the relation between N = 2 supersymmetric (SUSY) QED theory and N = 2 nonlinear (NL) SUSY model by linearizing N = 2 NLSUSY generally based upon the fundamental notions of the basic theory. We find a remarkable mechanism which determines theoretically the magnitude of the bare gauge coupling constant from the general structure of auxiliary fields. We show explicitly in d = 2 that the NL/linear SUSY relation (i.e. a SUSY compositeness condition for all particles) determines the magnitude of the bare electromagnetic coupling constant (i.e. the fine structure constant) of N = 2 SUSY QED.
An explanation of relations between the large scale structure of the universe and the tiny scale structure of the particle physics, e.g. the observed mysterious relation between the (dark) energy density and the dark matter of the universe and the neutrino mass and the SUSY breaking mass scale of the particle physics may be given by the nonlinear supersymmmetric general relativity (NLSUSY GR). NLSUSY GR shows that studying the physics before/of the Big Bang of the universe may be significant and may give new insight to unsolved problems of the low energy particle physics, cosmology and their relations.
The basic idea and some physical implications of nonlinear supersymmetric general relativity (NLSUSY GR) are presented. NLSUSY GR may give new insights into the origin of mass and the mysterious relations between the cosmology and the low energy particle physics, e.g. the spontaneous SUSY breaking scale, the cosmological constant, the (dark) energy density of the universe and the neutrino mass.
The basic idea and some physical implications of nonlinear supersymmetric general relativity (NLSUSY GR) are discussed, which give new insights into the origin of mass and the mysterious relations between the cosmology and the low energy particle physics, e.g. the spontaneous SUSY breaking scale, the cosmological constant, the (dark) energy density of the universe and the neutrino mass.
We show systematically the relation between a N = 2 nonlinear supersymmetric (NLSUSY) model and a N = 2 SUSY QED theory by means of the superfield formulation in two dimensional spacetime without imposing a priori any special gauge conditions for a gauge superfield.