Showing papers on "Superspace published in 1989"
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.
Abstract: We study the connection between the dual spinor model and supersymmetry. We show that in the low-energy region, the dual spinor model yields a supersymmetric Yang-Mills theory with O(4) internal symmetry and a supergravity theory with O(4) internal symmetry.
133 citations
TL;DR: In this article, the authors discuss the supersymmetry and the semiclassical quantum-mechanical interpretation of the Weyl character formula for compact, semisimple Lie groups.
122 citations
TL;DR: A geometrical interpretation of the classification of supersymmetric /ital p/-dimensional extended objects shows that the action describing such an object exists by virtue of a nontrivial class of the Chevalley-Eilenberg cohomology of superspace, considered as the super translation group.
Abstract: We provide a geometrical interpretation of the classification of supersymmetric /ital p/-dimensional extended objects. Specifically, we show that the action describing such an object exists by virtue of a nontrivial class of the (/ital p/+2)th Chevalley-Eilenberg cohomology of superspace, considered as the super translation group.
106 citations
TL;DR: Combining anti-BRS invariance with previously found symmetries of the gauge-fixed Chern-Simons action in three dimensions, the authors obtained a set of transformations that satisfies an unusual kind of supersymmetry algebra.
100 citations
TL;DR: The d = 4 spacetime, supersymmetric, supermembrane action is the effective action for domain walls in supersymmymmetric field theories as mentioned in this paper, which exhibits a partial breaking of global supersymmetry to N = 1.
97 citations
TL;DR: The topological Yang-Mills theory and the topological sigma model are presented in a superspace formulation in this article, which greatly simplifies the field content of the theories, and makes the Q -invariance more obvious.
75 citations
TL;DR: In this paper, the authors describe the calculation of one-and two-loop radiative corrections for the heterotic superstring σ-model described by the Green-Schwarz action in a supergravity-Yang-Mills background.
61 citations
TL;DR: In this paper, the structure of ultraviolet divergence cancellations in supersymmetric field theories is reviewed and various nonrenormalization theorems of superspace perturbation theory, both for extended and simple supersymmetry, are applied to super Yang-Mills theories in four and higher dimensions.
Abstract: We review the structure of ultraviolet divergence cancellations in supersymmetric field theories. We discuss the various nonrenormalization theorems of superspace perturbation theory, both for extended and for simple supersymmetry. These theorems and the background field method are applied to super Yang-Mills theories in four and higher dimensions, to supergravity theories and to two-dimensional supersymmetric nonlinear σ-models.
42 citations
TL;DR: In this paper, a super-Weyl-invariant spinning membrane is presented, both in superspace and in component form, which is an explicit counterexample to a recent no-go theorem for spinning membranes.
36 citations
TL;DR: In this article, a quasi-superconformal modes for constructing the measure on supermoduli space is presented. But the technique is not suitable for the super-Schottky description.
34 citations
TL;DR: In this article, a super Mumford form (holomorphic square root from the string measure) can be extended on UMS, and a simple expression for this extension is given.
TL;DR: In this paper, real scalar fields form a set of auxiliary fields for d = 2, N-extended Poincare supergravity and supergravity does not need any auxiliary fields.
TL;DR: In this article, the theory of superspace groups is applied to (snS)1.17NbS2 and it is shown that the symmetry is fully characterised by the (3+1)-dimensional superspace group P11sCm2m( alpha 00).
Abstract: The misfit layer compound (SnS)1.17NbS2 belongs to the class of intergrowth compounds. In the simplest approximation, the structure can be described as that of two interpenetrating sublattices. The true structure consists of two interpenetrating, incommensurately modulated structures. In this paper the theory of superspace groups is applied to (SnS)1.17NbS2. It is shown that the symmetry is fully characterised by the (3+1)-dimensional superspace group P11sCm2m( alpha 00). Definitions of the component structure space groups and superspace groups are given. For the NbS2 part they are found to be G1=Cm2m and Gs1=P11sCm2m. For the SnS part the authors obtain G2=Cm2a and Gs2=P111Cm2a. It is shown that this unified approach gives more information about the symmetry than when the subsystems are considered independently. One result is that in a structure refinement fewer possibilities have to be considered. Finally, the superspace group is used to derive the symmetry restrictions on the modulation functions of both subsystems.
TL;DR: The solution of the superspace Bianchi identities for N = 1 supergravity with a Lorentz Chern-Simons form is obtained using a particular set of constraints that has been shown to be particularly advantageous for loop calculations in the Green-Schwarz superstring σ -model as mentioned in this paper.
TL;DR: In this paper, a gauge-invariant superspace action in terms of unconstrained off-shell superfields for the D = 10 supersymmetric Yang-Mills (SYM) theory was constructed.
TL;DR: In this article, an extra supersymmetry present in the covariantly quantized Chern-Simons action within the superfield formalism is discussed, where scalar superfields are introduced.
Abstract: We discuss an extra supersymmetry present in the covariantly quantized Chern-Simons action within the superfield formalism By introducing scalar superfields we show how the component transformations are naturally reproduced from the superfield transformation When the superspace is extended to include an additional odd coordinate for the BRST symmetry, the entire theory is described by a single odd scalar superfield The implications of this supersymmetry for the renormalized theory are also discussed
TL;DR: In this paper, the existence of supersymmetric nonlinear σ-models with non-vanishing Nijenhuis tensor is proven by explicitly constructing examples on group manifolds.
TL;DR: In this paper, the chiral superspace formulation of SU(2)-extended N = 4 superconformal algebras is presented, where transformation laws and operator product expansions for the supercurrents are given.
TL;DR: A remarkable equivalence between the theories of spinning particles or superparticles using anticommuting Grassmann variables on the one hand and commuting c-number spinors on the other is established in this paper.
TL;DR: In this article, a topological super Yang-Mills theory is given and used to compute elements of the cohomology classes of super-monopole moduli space.
TL;DR: In this paper, the superfield analog of the Beltrami differential is introduced and the superdiffeomorphism transformations of these fields are obtained under the form of a graded differential (BRST) algebra.
TL;DR: In this article, a linear system is derived from the set of light-like integrability conditions in curved d = 10, N = 1 superspace, and the vielbeins and connections that satisfy the constraints are parametrized using a linear spinor subspace defined as the kernel of the light-cone projection operator.
TL;DR: For 2-dimensional (1, 0) supergravity, this article worked out the explicit solution of the constraints on the torsion and showed that the corresponding prepotentials represent a superspace description of Beltrami differentials.
TL;DR: In this paper, a class of non minimal extensions of anomaly free D=10, N=1SUGRA-SYM, formulated in superspace, is proposed, which are obtained modifying suitably standard superspace constraints of the minimal one.
Abstract: A class of non minimal extensions of anomaly free D=10, N=1SUGRA—SYM, formulated in superspace, is proposed. The new models are obtained modifying suitably standard superspace constraints of the minimal one. It is shown that the proposed models are likely to accommodate the effective four-bosons superstring amplitudes. The relation existing between consistently quantized heterotic string sigma models and the consistency of our construction is exhibited.
TL;DR: In this article, a consistency condition for the anomalies, allowing to study their general structure, has been obtained, and the anomalies of the κ-symmetry can be absorbed by consistent quantum corrections of torsion and curvatures leading to superspace constraints in agreement with those considered in recent studies on SUGRA-SYM.
Abstract: In this paper, the quantum heterotic Green and Schwarz superstring in Yang-Mills and curved superspace background is investigated. A consistency condition for the anomalies, allowing to study their general structure, has been obtained. We have found that the anomalies of the κ-symmetry can be absorbed by consistent quantum corrections of torsion and curvatures leading to superspace constraints in agreement with those considered in recent studies on SUGRA-SYM models. Moreover we suggest that the world sheet conformal and Lorentz anomalies vanish if the κ-anomalies are cancelled.
CERN1
TL;DR: In this paper, a Chern-Simons off-shell action leading to those equations is proposed, despite the fact that the on-shell one seems non-renormalizable, and the offshell theory might be finite.
TL;DR: In this paper, the authors considered the superstring induced N=1D=4 supergravity model and derived the form of the coupling in the new minimal model retrieving in this case the results of Cecotti, Ferrara and Villasante.
Abstract: The linear multiplet, composed of the dilaton ϕ, of an antisymmetric gauge field Bμν and of a spinor χ is always present in any superstring induced N=1D=4 supergravity model. We consider its coupling to supergravity using only superspace Bianchi identities and the rheonomy approach. In this way, our results are fully general and independent from the choice of any Lagrangian, a concept which is never mentioned in this paper. We consider two situations corresponding to two different free differential algebras: (1) the case where there are no Chern-Simons terms in the Bμν field strength Hμνρ and (2) the case where such terms are included in Hμνρ. Case (2) is obviously the one chosen by string theory on the ground of anomaly cancellation. In both cases, we must solve the H-Bianchi identity using a solution of the super Poincare’ Bianchi identities as a background. Such a solution, besides the physical fields displays a certain number of auxiliary fields. The most general solution of the super Poincare’ Bianchis we have to consider corresponds to 16⊕16 off-shell multiplet which, by suitable choices can be reduced either to the so-called old minimal or to the new minimal 12⊕12 multiplet. We give the general solution of the H-Bianchi within the 16⊕16 formulation both with and without Chern-Simons terms. This is done through the D=4 analogue of Bonora-Pasti-Tonin theorem of the 10D anomaly free supergravity. By specializing our parameters, we obtain the form of the coupling in the new minimal model retrieving in this case the results of Cecotti, Ferrara and Villasante. In addition we clarify the geometrical meaning of R-symmetry showing that in the absence of Chern-Simons forms, the condition for the embedding of the linear multiplet into the Kaehler manifold spanned by the chiral multiplets (existence on of a U(1) Killing vector) is the same condition which guarantees the existence of a local Weyl transformation by means of which the 16⊕16 curvatures can be reduced to the new minimal form and the scalar complex scalar auxiliary field S can be set to zero. Finally, we discuss the arbitrariness contained in the solution of the H-Bianchi identities at the level of the (0, 3) superspace sector. We derive the D=4 analogue of the superspace cocycle which is responsible for the Grisaru-Zanon R4-terms in the D=10 case.
TL;DR: In this paper, the divergent part of the d =2 one loop effective action of the σ-model describing type II (both IIA and IIB) Green-Schwarz superstrings propagating in a background D =2, N =2 curved superspace is computed, using Kallosh's gauge fixing procedure to fix the fermionic κ-symmetry of the quantum fluctuations.
TL;DR: In this article, a two-form pseudoscalar B' was employed in place of B' to produce a version of on-shell D=4, N=4 superspace supergravity with SU(4) symmetry using the Chern-Simons forms associated with the six spin-1 fields of supergravity.
Abstract: We employ a gauge two-form $B_{\underline{ab}} $ in place of the pseudoscalar B' to produce a version of on-shell D=4, N=4 superspace supergravity with SU(4) symmetry The replacement is accomplished using the Chern-Simons forms associated with the six spin-1 fields of N=4 supergravity Finally, a Green-Schwarz action is presented and the relation of the theory to the N=4, D=4 heterotic string is exhibited
TL;DR: In this article, the origin of world-sheet supersymmetry in the free-fermion models used in many constructions of four-dimensional heterotic strings and superstrings is shown to be due to the quantum-mechanical effect of an anomaly.