Showing papers on "Superspace published in 1980"
Abstract: A mathematically rigorous definition of a global supermanifold is given. This forms an appropriate model for a global version of superspace, and a class of functions is defined which corresponds to superfields. This new construction is compared with several pre‐existing definitions of supermanifold and graded manifold; it is shown to include all these definitions and to go beyond them, particularly in admitting the possibility of nontrivial topology in the anticommuting sector. Local differential geometry and potential applications to supergravity are considered.
377 citations
TL;DR: In this paper, the authors formulate on-shell 11-dimensional supergravity in superspace and express its equations of motion in terms of purely geometrical quantities, where all torsion and curvature components are solved by a single superfield, totally antisymmetric in its (flat vector) indices.
227 citations
TL;DR: In this article, the eleven-dimensional supergravity theory is presented in superspace on the mass shell, and a superspace supergravity model is presented for all dimensions of the world.
196 citations
TL;DR: In this paper, the authors complete the proof of a recently proposed new characterization of scalar supersymmetric theories and extend this result to non-scalar models such as super-symmetric gauge theories.
156 citations
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TL;DR: The N = 8 supergravity as mentioned in this paper is a work done in collaboration with B. Julia and S. Ferrara, who brought the trip through superspace in 11 dimensions under the direction of S Ferrara to return to ordinary 4 dimensional space-time.
Abstract: After the trip through superspace in 11 dimensions under the direction of S. Ferrara, 1 I am supposed to bring you back to ordinary 4 dimensional space-time by presenting to you the N = 8 supergravity, a work done in collaboration with B. Julia2.
142 citations
TL;DR: In this paper, it was shown that there are only two minimal (32, 1) multiplets, one of which can form an O(2) multiplet with (non-minimal) O(1) supergravity.
121 citations
TL;DR: In this article, the action formula and supergravity lagrangian were derived from the geometry of superspace and the supergravity Lagrangian of N = 2 supergravity was constructed from it.
104 citations
TL;DR: In this paper, the authors explain the motivations and methods for choosing and solving constraints on torsions and curvatures in superspace and show how all existing superspace formulations of supergravity fit within the general formalism previously expounded by the authors.
102 citations
TL;DR: In this paper, the algebraic reasons for the constraints in superspace formulations of supergravity are found and the maximal symmetry group relevant to the analysis of the constraints is identified to be a natural generalization of the Weyl group in general relativity.
100 citations
TL;DR: In this paper, a self-contained superfield approach to global supersymmetry in anti-de Sitter space (OSp(1,4)) is developed, and the reducibility questions are analyzed, focusing in particular on the structure of chiral representations of OSp(4).
Abstract: A self-contained superfield approach to global supersymmetry in anti-de Sitter space (OSp(1,4)) is developed. General transformation laws for OSp(1,4) superfields are established, and all basic elements of the OSp(1,4)-covariant formalism, such as covariant superfield derivatives, invariant integration measures over the superspace OSp(1,4)/O(1,3) in both the real and shifted bases, relations between different parametrisations of superspace, etc., are given explicitly. The reducibility questions are analysed, focusing in particular on the structure of chiral representations of OSp(1,4). The simplest linear OSp(1,4)-invariant models are constructed: the OSp(1,4) analogue of the Wess-Zumino model and OSp(1,4) extension of the Yang-Mills theory. The first model, together with the spontaneous breaking of OSp(1,4), exhibits an effect of the spontaneous violation of P and CP parties with the strength related to the anti-de Sitter radius. The relation of the proposed approach to supergravity is discussed.
93 citations
TL;DR: In this article, two nonlinear σ models are discussed which have N=2 supersymmetry in four dimensions and vanishing (one-loop) charge renormalization in two dimensions.
TL;DR: In this paper, a general method is proposed to build large classes of two-dimensional supersymmetric models, whose equations of motion can be interpreted as integrability conditions of a set of linear equations.
TL;DR: In this paper, the kinematic constraints for N = 2 Poincare supergravity were analyzed in the context of superconformal symmetry breakdown and the relation of superspace to component approaches.
01 Jan 1980
TL;DR: In this paper, a solution of the Bianchi identities in SU(2) extended superspace in terms of some superfields and their covariant derivatives is given, starting from the description of differential geometry in superspace as formulated by Wess and Zumino.
Abstract: Starting from the description of differential geometry in superspace as formulated by Wess and Zumino1, 2, a solution of the Bianchi identities in SU(2) extended superspace in terms of some superfields and their covariant derivatives will be given.
TL;DR: In this paper, the x-space lagrangian arises as the term of second order in θ of the superspace Lagrangian and is used to construct a superspace action.
TL;DR: In this article, a generalization of the super sine-Gordon model is proposed; its bosonic limit is a new model whose associate linear set has an SU (3) structure.
TL;DR: In this article, a supersymmetric extension for the UN,r σ-model was studied, in which the scalar fields take values in the Grassmann manifoldUN+r/Un⊗Ur.
Abstract: A supersymmetric extension is studied for theUN,r σ-model, in which the scalar fields take values in the Grassmann manifoldUN+r/Un⊗Ur. It is demonstrated that the supersymmetric model actually admits anO2 extended supersymmetry.
TL;DR: In this article, a purely algebraic derivation of the superspace constraints of N = 2 extended supergravity is given, which proceeds through an analysis of the integrability conditions needed to preserve the irreducible representations of rigid n = 2 supersymmetry, taking account of the local complex dilation and SU(2) invariances of the constraints.
TL;DR: In this paper, the supersymmetric Liouville equation is integrated explicitly and the general solutions are defined by four arbitrary functions, and the gauge field potentials entering the representation of zero curvature are spanned by the elements of Lie superalgebra b(0,1).
TL;DR: In this paper, the superconformal transformation properties of restricted superspace geometries appropriate for supergravity in D = 4 and 6 spacetimes were studied and modifications of the usual Wess-Zumino constraints for a six-dimensional, Poincare supergravity theory were discussed.
TL;DR: The absence of local divergences in the vacuum functional of supergravity at all loop orders in a self-dual gravitational or supergravitational background is discussed in this article.
TL;DR: In this paper, supersymmetric extensions of non-linear σ-models with fields taking values in riemannian symmetric spaces are defined, and the associated classical theory of dynamical symmetry is developed.
01 Jan 1980
TL;DR: In the present scenario of our theoretical understanding of fundamental particle interactions, extended supergravity appears to be the only viable gauge quantum field theory which may succeed in the attempts at superunification of electroweak, strong and gravitational interactions as mentioned in this paper.
Abstract: In the present scenario of our theoretical understanding of fundamental particle interactions, extended supergravity appears to be the only viable gauge quantum field theory which may succeed in the attempts at superunification of electroweak, strong and gravitational interactions.
TL;DR: In this paper, the authors investigated superspace geometry for supergravity with non-minimal auxilliary fields and showed that the kinematic constraints and the superspace Bianchi identities are sufficient to obtain complete component expansions of all superspace quantities, including the vielbein and connection superfields.
TL;DR: In this article, the N = 2 superspace Bianchi identities were solved using two independent supertensors of supergravity, and the implications of N = two supergravity for higher extended theories in superspace were discussed.
TL;DR: In this paper, the spontaneous breaking of the riemannian theory is shown to predict precisely the vacuum values of the supergravity torsions which are assumed in the usual superspace formulations of supergravity.
TL;DR: In this article, the supersymmetry algebra for the (2+1)-dimensional supersymmetric CP N −1 model was examined on the basis of the observation of Witten and Olive in (1+1) and (3 + 1) dimensions.
TL;DR: In this article, various types of degeneracy lifting, related to different forms of the Lifschitz invariants, which can arise in the energy dispersion curve, and determine the possible onset of one or several incommensurate phases.
Abstract: We investigate the various types of degeneracy lifting, related to different forms of the Lifschitz invariants, which can arise in the energy dispersion curve, and determine the possible onset of one or several incommensurate phases. Necessary symmetry conditions are indicated for the occurence of “conical” points which correspond to an isotropic k dependence in a plane. Various types of these points are distinguished, and it is pointed out that conical points, which occur in the tetragonal, trigonal, and hexagonal space groups, are associated to modulated phases having lower superspace symmetries than when the modulation is along the third fourth, or sixth order axis.