SO(N) supergravity and unification of all fundamental forces

Shima, Kazunari

doi:10.1007/bf01571701

Cited by 30 publications

(85 citation statements)

References 10 publications

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“…they may explain naturally the three-generations structure of quarks and leptons, the stability of proton, various mixings, ... etc [3]. And in SGM except graviton they are supposed to be the (massless) eigenstates of superons of SO(10) SP symmetry [5] of space-time and matter. The uniqueness of N = 10 among all SO(N) SP is pointed out.…”

Section: Supersymmetrymentioning

confidence: 99%

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Nonlinear supersymmetry and unification of space-time and matter

Shima

Tsuda

2002

Czech J Phys

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Based upon the geometrical arguments of nonlinear SUSY in curved higher symmetric (SGM) space-time a new Einstein-Hilbert type action of superon-graviton model(SCM) for space-time and matter is obtained. SGM action is invariant underThe explicit form of SGM action is given in terms of the fields of the graviton and superons by using the spin connection formalism. Some characteristic structures of the gravitational coupling of superons are manifested (in two dimensional space-time) with some details of the calculations. SGM cosmology is discussed briefly.

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Section: Supersymmetrymentioning

confidence: 99%

“…which is isomorphic to N : 10 extended (global SO(10)) SP symlnetry through which SGM reveals the spectrum of all observed particles in the low energy [5]. In contrast with the ordinary SP SUSY, new SUSY may be regarded as a square root of a generalized GL(4, R).…”

Section: Fundamental Action Of Sgmmentioning

confidence: 99%

Nonlinear supersymmetry and unification of space-time and matter

Shima

Tsuda

2002

Czech J Phys

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“…they may explain naturally the three-generations structure of quarks and leptons, the stability of proton, various mixings, ..etc [10]. And in SGM except graviton they are supposed to be the (massless) eigenstates of superons of SO(10) SP symmetry [12] of space-time and matter. The uniqueness of N=10 among all SO(N) SP is pointed out.…”

Section: Introductionmentioning

confidence: 99%

“…SGM cosmology is discussed briefly. PACS:04.50.+h, 12.60.Jv, 12.60.Rc,12.10.-g /Keywords: supersymmetry, graviton, Nambu-Goldstone fermion, unified theory * e-mail: shima@sit.ac.jp, tsuda@sit.ac.jp …”

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

Shima¹,

Tsuda²

2002

Class. Quantum Grav.

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The fundamental action of superon-graviton model(SGM) of EinsteinHilbert type for space-time 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 space-time) with some details of the calculations. SGM cosmology is discussed briefly. PACS:04.50.+h, 12.60.Jv, 12.60.Rc,12.10.-g /Keywords: supersymmetry, graviton, Nambu-Goldstone fermion, unified theory * e-mail: shima@sit.ac.jp, tsuda@sit.ac.jp IntroductionThe standard model(SM) is established as a unified model for the strong-electroweak interaction, although interestingly it is still unsatisfactory in many aspects, e.g. it can not explain the particle quantum numbers (Q e , I, Y, color) and the threegenerations structure and contains more than 28 arbitrary parameters(in the case of neutrino oscillations) even disregarding the mass generation mechanism for neutrino. It seems inevitable to introduce new particles and new (gauge) symmetries for exploring the new physics and the new framework for the unification of space-time and matter beyond SM. As demonstrated in supergravity(SUGRA) coupled with Volkov-Akulov model it is rather well understood in the linear realization of SUSY(L SUSY) that N-G fermion is converted to the longitudinal component of spin 3/2 gravitino field by the superHiggs mechanism and breaks local linear SUSY spontaneously by giving mass to gravitino [9]. N-G fermion degrees of freedom become unphysical in the low energy. The SM and grand unified theory(GUT) equiptted naively with supersymmetry (SUSY) have revealed the remarkable features, e.g. the unification of the gauge couplings at about 10 17 , relatively stable proton(now threatened by experiments),etc., but they contains more than 100 arbitrary parameters and less predictive powers and the gravity is out of the scope. While, considering seriously the fact that SUSY is naturally connected to spacetime symmetry, it may be interesting to servey other possibilities concerning how SUSY is realized and where N-G fermion has gone (in the low energy). In Ref. [7], N-G fermion is considered as the fundamental constituents of quarks and leptons and the field theoretical description of the model is attempted. In the previous paper [10] we have introduced a new fundamental constituent with spin 1/2 superon and proposed superon-graviton model (SGM) equippted with NL SUSY as a model for unity of space-time and matter. In SGM, the fundamental entities of nature are the graviton with spin-2 and a quintet of superons with spin-1/2. They

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“…From the spin-3/2 NL SUSY model, L realizations of the spin-3/2 SUSY are suggested as corresponding supermultiplets to a spin-3/2 NL SUSY action [7] through a linearization. The linearization of the spin-3/2 NL SUSY is also useful from the viewpoint towards constructing a SUSY composite unified theory based on SO(10) super-Poincaré (SP) group (the superon-graviton model (SGM)) [8,9], and it may give new insight into an analogous mechanism with the super-Higgs one [10] for high spin fields which appear in SGM (up to spin-3 fields).Recently, we have studied the unitary representation of the spin-3/2 SUSY algebra in [7] towards the linearization of the spin-3/2 NL SUSY [11]. Since the spinor-vector generator has the role of creation and annihilation operators which raise or lower the helicity of states by 1/2 or by 3/2, the structure of the (physical) L supermultiplets induced from the spin-3/2 SUSY algebra is shown for example as…”

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On Action Invariance under Linear Spinor-Vector Supersymmetry

Shima

Tsuda

2006

SIGMA

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Abstract. We show explicitly that a free Lagrangian expressed in terms of scalar, spinor, vector and Rarita-Schwinger (RS) fields is invariant under linear supersymmetry transformations generated by a global spinor-vector parameter. A (generalized) gauge invariance of the Lagrangian for the RS field is also discussed. The relation between the L and the NL SUSY, i.e., the algebraic equivalence between various (renormalizable) spontaneously broken L supermultiplets and a NL SUSY action [2] in terms of a Nambu-Goldstone (NG) fermion has been investigated by many authors [3,4,5,6].An extension of the Volkov-Akulov (VA) model [2] of NL SUSY based on a spinor-vector generator, called the spin-3/2 SUSY, hitherto, and its NL realization in terms of a spin-3/2 NG fermion have been constructed by N.S. Baaklini [7]. From the spin-3/2 NL SUSY model, L realizations of the spin-3/2 SUSY are suggested as corresponding supermultiplets to a spin-3/2 NL SUSY action [7] through a linearization. The linearization of the spin-3/2 NL SUSY is also useful from the viewpoint towards constructing a SUSY composite unified theory based on SO(10) super-Poincaré (SP) group (the superon-graviton model (SGM)) [8,9], and it may give new insight into an analogous mechanism with the super-Higgs one [10] for high spin fields which appear in SGM (up to spin-3 fields).Recently, we have studied the unitary representation of the spin-3/2 SUSY algebra in [7] towards the linearization of the spin-3/2 NL SUSY [11]. Since the spinor-vector generator has the role of creation and annihilation operators which raise or lower the helicity of states by 1/2 or by 3/2, the structure of the (physical) L supermultiplets induced from the spin-3/2 SUSY algebra is shown for example asfor the massless case. In equation (1) n(λ) means the number of states n for the helicity λ. Therefore, it is expected in the above examples that the spin-3/2 L supermultiplets contain scalar, spinor, vector and Rarita-Schwinger (RS) fields as fundamental fields. In order to explicitly show that those fields constitute the spin-3/2 L supermultiplet, we have to prove an action invariance under appropriate spin-3/2 L SUSY transformations whose commutator algebras close as a representation of the Baaklini's spin-3/2 SUSY algebra. Namely, we have to determine the form of the spin-3/2 L SUSY transformations both from the action invariance and from the closure of those commutator algebra.

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SO(N) supergravity and unification of all fundamental forces

Cited by 30 publications

References 10 publications

Nonlinear supersymmetry and unification of space-time and matter

Nonlinear supersymmetry and unification of space-time and matter

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

On Action Invariance under Linear Spinor-Vector Supersymmetry

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