Weyl Superspace

Abstract

It is shown that the equations of motion of eleven-dimensional supergravity follow from setting the dimension zero components of the superspace torsion tensor equal to the Dirac matrices. The proof of this assertion is facilitated by the introduction of a connection taking its values in the Lie algebra of $Spin(1,10)\times R^{+}$.

9 pages, latex

Cited by in corpus (62)

• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• Fibre Bundles and Generalised Dimensional Reduction
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• Spinorial cohomology and maximally supersymmetric theories
• Holonomy and Symmetry in M-theory
• Manifestly supersymmetric M-theory
• Actions and Fermionic symmetries for D-branes in bosonic backgrounds
• Supersymmetric Corrections to Eleven-Dimensional Supergravity
• On a supersymmetric completion of the R^4 term in IIB supergravity
• Fermions, T-duality and effective actions for D-branes in bosonic backgrounds
• Pure spinor superfields -- an overview
• On the underlying gauge group structure of D=11 supergravity
• On the formulation of D=11 supergravity and the composite nature of its three-from field
• On higher-order corrections in M theory
• Towards a manifestly supersymmetric action for 11-dimensional supergravity
• The supermembrane revisited
• T-duality in Ramond-Ramond backgrounds
• Superfield Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields
• The Rational Higher Structure of M-theory
• Curved 11D Supergeometry
• Aspects of Superembeddings
• Higher Derivative Supergravities in Diverse Dimensions
• Zero-Branes, Quantum Mechanics and the Cosmological Constant
• Gauge enhancement of super M-branes via parametrized stable homotopy theory
• Norcor vs the Abominable Gauge Completion
• de Sitter space from M-theory?
• Real ADE-equivariant (co)homotopy and Super M-branes
• Forms and algebras in (half-)maximal supergravity theories
• D=3, N=8 conformal supergravity and the Dragon window
• Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5
• Notes on Super Killing Tensors
• Deliberations on 11D Superspace for the M-Theory Effective Action
• Spencer cohomology and eleven-dimensional supergravity
• M-theory from the Superpoint
• Generalised 11-dimensional supergravity
• Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds
• 11D supergravity at $\mathcal{O}(l^3)$
• Higher T-duality in M-theory via local supersymmetry
• Massive IIA supergravities
• The explicit form of the effective action for F1 and D-branes
• A Note on Embedding of M-Theory Corrections into Eleven-Dimensional Superspace
• Towards complete string effective actions beyond leading order
• Generalizing eleven-dimensional supergravity
• Flux Quantization on 11-dimensional Superspace
• Generalized 11D supergravity equations from tri-vector deformations
• Superbranes, D=11 CJS supergravity and enlarged superspace coordinates/fields correspondence
• Heterotic supergeometry revisited
• All symmetric space solutions of eleven-dimensional supergravity
• N=1 Supercurrents of Eleven-dimensional Supergravity
• Superconformal Symmetry in 11D Superspace and the M-Theory Effective Action
• Components of Eleven-dimensional Supergravity with Four Off-shell Supersymmetries
• Pure spinor indications of ultraviolet finiteness in D=4 maximal supergravity
• Unfolding $E_{11}$
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• The Hidden M-Group
• Weyl Covariance, and Proposals for Superconformal Prepotentials in 10D Superspaces
• Higher Order Invariants in Supergravity
• Extended Field Theories as higher Kaluza-Klein theories
• Flux Quantization on M-Strings
• Branes, fermions, and superspace dualities
• Compactifications of String/M-Theory and the Swampland: A Study of the AdS${}_{\text{4}}$ Mass Spectrum of Eleven-Dimensional Supergravity on the Squashed Seven-Sphere