Showing papers on "Superspace published in 1976"
TL;DR: In this paper, first and second order forms of the covariant action for a spinning particle are exhibited, which consistently incorporates the necessary constraints and is invariant under both local supersymmetry and general time parameter transformations, and provides a simple one-dimensional model for the interaction between matter and supergravity.
375 citations
TL;DR: In this article, it is shown that supersymmetry may be applied to spin systems and a simple algebra is proposed and various examples of supersymmetric spin systems can be found.
Abstract: It is shown that supersymmetry may be applied to spin systems. A simple algebra is proposed and various examples are discussed. It is argued that certain correlation functions must vanish on account of supersymmetry.
199 citations
TL;DR: In this paper, the authors presented theories of gravitation based on the general linear group (GL) and its inhomogeneous extension (IGL) for torsion-free manifolds.
Abstract: We present theories of gravitation based, respectively, on the general linear group $\mathrm{GL}(n, R)$ and its inhomogeneous extension $\mathrm{IGL}(n, R)$ [($\mathrm{SO}(n\ensuremath{-}1, 1)$ and [$\mathrm{ISO}(n\ensuremath{-}1, 1)$ for torsion-free manifolds] Noting that the geometry of the conventional gauge theories can be described in terms of a fiber bundle, and that their action is a scalar in such a superspace, we construct principal fiber bundles based on the above gauge groups and propose to describe gravitation in terms of their corresponding scalar curvatures To ensure that these manifolds do indeed have close ties with the space-time of general relativity, we make use of the notion of the parallel transport of vector fields in space-time to uniquely relate the connections in space-time to the gauge potentials in fiber bundles The relations turn out to be similar to that suggested earlier by Yang The actions we obtain are related to those of Einstein and Yang but are distinct from both and have an Einstein limit The inclusion of internal symmetry leads to the analogs of Einstein-Yang-Mills equations A number of variations and less attractive alternatives based on the above groups or their subgroups are also discussed
105 citations
TL;DR: In this article, the authors discuss the relationship between the Riemannian space geometry of super-symmetry and the non-Riemannians geometry of superspace geometry.
32 citations
TL;DR: In this paper, the conformal algebra in a superspace with orthosymplectic metric is shown to be an O(2N)-algebra with two extra Bose dimensions.
Abstract: The conformal algebra in a superspace with orthosymplectic metric is found to be an orthosymplectic algebra with two extra Bose dimensions. It is argued that all supergauge fields are also Nambu–Goldstone fields. In supergauge theory the nature of the gauged internal symmetry is found to be severely restricted: It must be O(2N), where N is the number of fundamental Dirac fermions or alternatively one‐eightth of the number of Fermi dimensions of superspace.
16 citations
TL;DR: In this article, the existence of conformal algebra within the supersymmetry algebra has been verified through an explicit construction which uses as underlying space the pseudo-Euclidean space E(4,2).
8 citations
TL;DR: In this article, an effective Lagrangian density is formally rewritten in terms of a spontaneously broken vacuum metric and the remaining perturbative part in the gauge metric tensor, and tensor notations in the superspace are revised so that all sign factors of Grassmann parities appear more systematically.
Abstract: In the framework of gauge supersymmetry proposed by Arnowitt and Nath, an effective Lagrangian density is formally rewritten in terms of a spontaneously broken vacuum metric and the remaining perturbative part in the gauge metric tensor. Tensor notations in the superspace are revised so that all sign factors of Grassmann parities appear more systematically. (AIP)
3 citations
CERN1
TL;DR: In this paper, a supersymmetry algebra for the multiplication of coloured quark variables is presented, where quarks and leptons are treated on an equal footing, and the affine structure imposed on the unified space of Fermionic and Minkowski co-ordinates forces the introduction of separate lepton and hadronic (quark) variables.
Abstract: We construct a supersymmetry algebra which satisfies the triality rules governing the multiplication of « coloured » quark variables. Quarks and leptons are treated on an equal footing. The affine structure imposed on the unified space of Fermionic and Minkowski co-ordinates forces the introduction of separate leptonic and hadronic (quark) variables. Some basic properties of dynamical superstructures based on the coloured superspace are discussed. It is pointed out, in particular, that supersymmetric theories based on coloured superspace allow for an interpretation of superfield components in terms of lepton and quark fields; the theory permits separate conservation of lepton and baryon numbers.
2 citations
1 citations