Showing papers on "Superspace published in 1977"
TL;DR: Yang-Mills theories with simple supersymmetry are constructed in 2, 4, 6, and 10 dimensions, and it is argued that these are essentially the only cases possible as discussed by the authors.
958 citations
TL;DR: The connection between the dual spinor model and supersymmetric Yang-Mills theories was studied in this article, where it was shown that in the low-energy region, the dual-spinor model yields a supersymmemic Yang-mills theory with O(4) internal symmetry.
899 citations
TL;DR: In this paper, the classical solutions of some supersymmetric field theories in two dimensions are investigated, which are constructed by solving first-order differential equations in superspace, i.e., supersymmetry extensions of the analogous equations used in the purely bosonic sector.
302 citations
TL;DR: In this article, a geometrical interpretation of supergravity is given in terms of the differential geometry of superspace starting from a general affine superspace, the geometry is specified in such a way as to contain as a special case the superspace of a global supersymmetry.
276 citations
CERN1
TL;DR: In this article, the non-linear transformation law and the nonlinear Lagrangian for a Goldstone spinor corresponding to spontaneous breaking of global supersymmetry in a de Sitter space with O(3,2) invariance were derived.
127 citations
CERN1
TL;DR: There is no Hermitean supersymmetry in Euclidean four-space as discussed by the authors, and the simplest supersymmetric has complex four-component spinorial parameters, which is not the case for the many-instanton problem.
121 citations
76 citations
TL;DR: In this article, the auxiliary mass BPHZ renormalization procedure is extended to include theories defined in superspace, and a general momentum-superspace subtraction scheme is given which allows time-ordered Green functions of superfields to be defined as tempered distributions.
41 citations
TL;DR: In this article, an ansatz for the supervierbein in the (2 + 2)-dimensional superspace appropriate for the spinning string was presented. But it was shown that the ansatz can be obtained in an ordinary two-dimensional space, by substituting into a superspace action and integrating over the Grassmann coordinates.
37 citations
TL;DR: In this paper, it was shown that spinor superfields may be combined with the fermionic components of the invariant superspace gradient in order to define a supersymmetric Yang-Mills covariant derivative.
Abstract: Following the example provided by the ordinary derivative and vector Yang-Mills fields, we give an argument which demonstrates that spinor superfields may be combined with the fermionic components of the invariant superspace gradient in order to define a fermionic, supersymmetric Yang-Mills covariant derivative. Additionally, it is shown that this fermionic, covariant gradient is the ''square root'' of a bosonic covariant gradient. Thus, it is possible to define a ''supercovariant derivative'' is superspace. We also discuss some general aspects of supersymmetric, Yang-Mills theories.
18 citations
TL;DR: In this article, it was shown that it is possible to calculate the effective potential in superspace without decomposing superfields into component fields, and the most general renormalizable Lagrangian for chiral superfields was treated.
Abstract: We show that it is possible to calculate the effective potential in superspace without decomposing superfields into component fields. The most general renormalizable Lagrangian for chiral superfields is treated.
TL;DR: In this paper, the structure of gauge supersymmetry with field equations RAB=λgAB before and after spontaneous breakdown is analysed. And the gauge group of the vacuum metric, after the breakdown is examined.
TL;DR: In this paper, the exact geodesic equations of curved superspace are derived in terms of the metric through second order in the Fermi coordinates, and the zeroth-order equations are also compatible with the field equations, separately implying the proper magnitude for the Lorentz force.
Abstract: The exact geodesic equations of curved superspace are derived. These are expanded in terms of the metric through second order in the Fermi coordinates ${\ensuremath{\theta}}^{i}$. The zeroth-order equations are the same as Einstein's geodesic equations. The first- and second-order equations are also found to be compatible with the field equations, separately implying the proper magnitude for the Lorentz force. This compatibility holds only if the $f$ field as well as the ${L}_{\ensuremath{\mu}\ensuremath{
u}}$ field of Arnowitt and Nath develops a superheavy mass through spontaneous symmetry breaking. This mass growth for the $f$ field has recently been shown actually to occur.
Journal Article•
TL;DR: In this paper, the spinor extension of the conformal algebra is investigated and the transformation law of superfields under conformal coordinate inversion R defined in the superspace is derived.
Abstract: In this work the spinor extension of the conformal algebra is investigated. The transformation law of superfields under the conformal coordinate inversion R defined in the superspace is derived. Using R-technique, the superconformally covariant two-point and three-point correlation functions are found.
TL;DR: In this paper, the action corresponding to a two-dimensional spinor non-linear realisation of supersymmetry is consistently coupled to supergravity, which permits gauging away of the fermion.
Abstract: The action corresponding to a two-dimensional spinor non-linear realisation of supersymmetry is consistently coupled to supergravity. The resulting formal model has local supersymmetry invariance, which permits gauging away of the fermion.
TL;DR: In this paper, a complete formalism for imposing Yang-Mills invariance induced by general coordinate transformations on superspace is developed, and a self-sourced theory involving only the connection is defined.
Abstract: A complete formalism is developed for imposing Yang-Mills gauge invariance induced by general coordinate transformations on superspace (i.e., a space containing both commuting and anticommuting coordinates). The appropriate group is the graded pseudo-Lie group of real, general linear transformations on superspace analogous to the role played by GL(4,$R$) in general relativity. The construction of derivatives which transform covariantly under this group forces the introduction of a connection. In the usual gauge theories the connection is just the vector potential, whereas here we expect it to be a function of all the dynamical fields. In this purely affine theory, field strengths and our proposed equations of motion for them result in a self-sourced theory involving only the connection. However, we find that there exist solutions which permit us to define a metric for which an inverse does not exist. These solutions are associated with a spontaneous symmetry breakdown of the vacuum which yields only the Lorentz metric and with no restriction on the internal-symmetry group. This spontaneous symmetry breaking introduces a parameter with the dimensions of ${(\mathrm{mass})}^{2}$.
TL;DR: In this article, it was shown that the supersymmetry charges of the Volkov-Akulov Lagrangian form the graded Lie algebra, and that the Hamiltonian of the system P/sup 0/ is written as a bilinear sum of products of supersymmetric charges.
Abstract: The two-dimensional version of the Volkov-Akulov Lagrangian, where the supersymmetry is realized nonlinearly by means of a single Majorana spinor psi (x), is quantized. The equal-time anticommutators for the field are not c numbers but are functions of the field itself. By explicit calculation we shall show that the supersymmetry charges of the model form the supersymmetry algebra (the graded Lie algebra); therefore the Hamiltonian of the system P/sup 0/ is written as a bilinear sum of products of supersymmetry charges. We shall also show that the supersymmetry charges exactly generate a constant translation of psi (x) in the spinor space.
TL;DR: In this paper, the vacuum connection associated with a Yang-Mills theory of the graded Lie group of real, general linear transformations on superspace that is induced by supersymmetry transformations was constructed.
Abstract: We construct the vacuum connection associated with a Yang-Mills theory of the graded Lie group of real, general linear transformations on superspace that is induced by supersymmetry transformations. This gives rise to a class of supersymmetric ''vacuum metrics,'' most of which are noninvertible and/or involve theories with torsion. All of these connections are nonsingular and no limiting procedures are involved, even in the case of the original Wess-Zumino-Salam-Strathdee supersymmetric line element. Many of them are a priori compatible with the internal-symmetry group SU(2) x U(1) and extensions to include color.
01 Jan 1977
TL;DR: In this article, the Lagrangian field theory for gravitation is discussed and the spin 3/2 field is coupled in a non-minimal way in a first order formalism with torsion.
Abstract: We discuss a recently1,2,3 discovered Lagrangian field theory for gravitation, which is locally supersymmetric (“super-gravity”) and which uses normal four dimensional spacetime instead of superspace. The action contains the Einstein action and the minimally coupled spin 3/2 action together with a non-derivative four-fermion interaction of gravitational strength. When recast in a first order formalism with torsion, the action contains no four-fermion term but the spin 3/2 field is coupled in a non-minimal way.
TL;DR: The thin sandwich conjecture in the initial value problem of general relativity is investigated by means of differential geometrical methods, in connection to the definition of arc length in a Wheeler superspace as discussed by the authors.
TL;DR: In this article, the steady-state solution of the DeWitt equation has a discrete spectrum corresponding to discrete energy levels of the steady state of the cosmological model M = (2N + 1)Mo, Mo = 10−5 g.
Abstract: The quantization of a homogeneous isotropic Friedmann model of the universe that is occupied by a quantized scalar field is considered in the superspace approach of Wheeler and DeWitt. Steady-state perturbation theory is used to show that in the region δN ≪ 1, δ ≈ 10−23, N=1, 2,..., where it is applicable, the steady-state solutions of the DeWitt equation have a discrete spectrum corresponding to discrete energy levels of the steady state of the cosmological model M= (2N + 1)Mo, Mo = 10−5 g.
CERN1
TL;DR: In this article, the supersymmetric Higgs effect was discussed and supersymmetry was formulated as a geometry of superspace, and the formulation of supergravity as a geodesic geometry was discussed.
Abstract: We discuss the supersymmetric Higgs effect which occurs when a supersymmetric matter system, in which supersymmetry is spontaneously broken, is coupled with supergravity. A second topic discussed is the formulation of supergravity as a geometry of superspace.