Superon-quintet and graviton model for supersymmetric spacetime and matter

Abstract

A new Einstein-Hilbert type (SGM) action describing gravitational interaction of Nambu-Goldstone(N-G) fermion of nonlinear supersymmetry(NL SUSY) is obtained by performing the Einstein gravity analogue geometrical arguments in high symmetric four dimensional (SGM) spacetime. All elementary particles except graviton are regarded as the composite eigenstates of SO(10) super-Poincaré algebra(SPA) composed of the fundamental N-G fermion "superons" of NL SUSY. Some phenomenological implications of the composite picture of SGM, the linearlization of SGM and N = 2 Volkov-Akulov model are discussed.

Nonlinear SUSY General Relativity Theory and Significances

“…The extension to large N, especially to N = 5 is important for superon quintet hypothesis of SGM scenario with N = 10 = 5 + 5 * for equipping the SU(5) GUT structure [3] and to N = 4 may shed new light on the mahematical structures of the anomaly free non-trivial d = 4 field theory. (N = 10 SGM predicts doublecharge heavy lepton state E 2+ and new one neutral singlet massive vector state [2]).…”

Particle astrophysics of nonlinear supersymmetric general relativity

“…Further investigations on the spontaneous symmetry breaking for N ≥ 2 SUSY remains to be studied. The extension to large N , especially to N = 5 is important for superon quintet hypothesis of SGM scenario with N = 10 = 5 + 5 * for equipping the SU (5) GUT structure [2] and to N = 4 may shed new light on the mathematical structures of the anomaly free non-trivial d = 4 field theory.…”

“…In NLSUSY GR, new (generalized) space-time, SGM space-time [2], is introduced, where tangent space-time has the NLSUSY structure, i.e. flat space-time is specified not only by the SO(1, 3) Minkowski coordinates x a but also by SL(2, C) Grassmann coordinates ψ i α (i = 1, 2, · · · , N) for NLSUSY.…”

“…In order to see the above particle physics consequences of NLSUSY GR, i.e. the relation between the large scale structure of space-time and the low energy particle physics, let us begin with the fundamental EH-type action of NLSUSY GR in SGM space-time given by [2]…”

On linearization of N=1 nonlinear supersymmetry

“…[8] SUSY QED theory in NL/L SUSY relation is discussed by using a constrained gauge superfield in the context of the coupling of the VA action to the gauge multiplet action.) From the above group and field theoretical aspects in SGM, it is interesting and worthwhile investigating the NLSUSY GR theory as a fundamental theory beyond the SM, which proposes a new paradigm, SGM scenario [2,3,7,17], for describing the unity of nature.…”