Kazunari Shima

On linearization of N = 1 nonlinear supersymmetry

Abstract The N =1 Volkov–Akulov model of nonlinear supersymmetry is explicitly related to a vector supermultiplet model with a Fayet–Iliopoulos D term of linear supersymmetry. The physical significance of the results is discussed briefly.

New supersymmetry algebra on gravitational interaction of Nambu–Goldstone fermion

Abstract The spacetime symmetries of SGM action proposed as the gravitational coupling of N–G fermions are investigated. The commutators of new nonlinear supersymmetry (NL SUSY) transformations form a closed algebra, which reveals N–G fermion (NL SUSY) nature and a generalized general coordinate transformation. A generalized local Lorentz transformation, which forms a closed algebra, is also introduced.

Linearizing N=2 nonlinear supersymmetry

Abstract We investigate for the N =2 supersymmetry (SUSY) a relation between a vector supermultiplet of the linear SUSY and the Volkov–Akulov model of the nonlinear SUSY. We express component fields of the vector supermultiplet in terms of Nambu–Goldstone fermion fields at the leading orders in a SUSY invariant way, and show the vector nature of the U (1) gauge field explicitly. A relation of the actions for the two models is also discussed briefly.We investigate for the N = 2 supersymmetry (SUSY) a relation between a vector supermultiplet of the linear SUSY and the Volkov-Akulov model of the nonlinear SUSY. We express component fields of the vector supermultiplet in terms of Nambu-Goldstone fermion fields at the leading orders in a SUSY invariant way, and show the vector nature of the U(1) gauge field explicitly. A relation of the actions for the two models is also discussed briefly.

SO(N) supergravity and unification of all fundamental forces

From the group theoretical arguments, we find that among allSO(N) supergravitiesN=10 is the minimal supersymmetry group which unifies all fundamental forces of weak, electromagnetic, strong and gravitational interactions. The (super)symmetry is broken throughSO(10)→SU(3)⊗SU(2)⊗U(1)→SU(3)⊗U(1). All observed particles of the low energy physics (three generations of quarks and leptons, γ,Z, W± and gluons) and graviton can be minimally accomodated with the correctSU(3)⊗SU(2)⊗U(1) quantum numbers. Some characteristic predictions, which can be checked in the coming high energy experiments, are briefly discussed.

On the structure of Einstein–Hilbert-type action of the superon–graviton model (SGM)

The fundamental action of the superon–graviton model (SGM) of Einstein–Hilbert-type for spacetime and matter is written down explicitly in terms of the fields of the graviton and superons by using the affine connection formalism and the spin connection formalism. Some characteristic structures including some hidden symmetries of the gravitational coupling of superons are manifested (in two-dimensional spacetime) with some details of the calculations. SGM cosmology is discussed briefly.

Topology of zero riemann curvature flat space in supergravity

Abstract The equation of motion of the gravitino is investigated in a flat space reduced from the Kerr geometry by taking the massless limit of the gravitational source. We adopt the ansatz ψ μ ( x )= δ μo ψ ( x ), i.e., the Coulomb potential analogue to the Rarita-Schwinger Majorana field of the gravitino. A non-trivial exact classical solution of ψ ( x ) is obtained and it is interpreted as the source of the intrinsic topology of the background flat space. This flat space is spanned by two Minkowski sheets interconnected through a disk of radius a (the angular momentum parameter in the Kerr geometry).

On origin of mass and supersymmetry

We show that the nonlinear supersymmetric general relativity gives new insights into the origin of mass and elucidates the mysterious relations between the cosmology and the (low energy) particle physics.

SYSTEMATICS OF LINEARIZATION OF N = 2 NONLINEAR SUSY IN SUPERFIELD FORMULATION

The relation between an N = 2 nonlinear supersymmetric (SUSY) model and a linear SUSY (free) theory for N = 2 vector supermultiplet accompanying the spontaneous SUSY breaking is systematically worked out in two-dimensional superfield formulation.

ON YUKAWA AND MASS TERMS IN NONLINEAR SUPERSYMMETRY EQUIVALENT RENORMALIZABLE THEORY

We show explicitly in D = 2 that N = 2 nonlinear supersymmetric (SUSY) Volkov–Akulov model is equivalent to a spontaneously broken N = 2 linear SUSY interacting theory containing the ordinary Yukawa interactions and mass terms, which is renormalizable, by using SUSY invariant relations.

N = 2 SUPERSYMMETRIC QED RELATED TO N = 2 VOLKOV–AKULOV MODEL

We discuss the relation between N = 2 Volkov–Akulov model and the spontaneously broken linear supersymmetry (LSUSY) interacting gauge theory for N = 2 vector and N = 2 scalar supermultiplets in two-dimensional spacetime (d = 2). The local gauge interaction of LSUSY is induced by the specific composite structure of the auxiliary fields and the consequent transformations.