Isotropic geometry and twistors in higher dimensions. II. Odd dimensions, reality conditions, and twistor superspaces

DOI10.1063/1.531096zbMath0823.32015OpenAlexW1995371782MaRDI QIDQ4836953

J. Harnad, Steven Shnider

Publication date: 21 June 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531096

zbMATH Keywords

Minkowski spacesupergravityGrassmannianspinorflag manifoldstwistorsisotropic subspacesCartan mapsuper-Grassmannianssupersymmetric Yang- Mills

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Applications of holomorphic fiber spaces to the sciences (32L81)

Related Items (11)

Some remarks on (super)-conformal Killing-Yano tensors ⋮ Notes on super Killing tensors ⋮ A twistor description of six-dimensional \( \mathcal{N} =(1,1)\) super Yang-Mills theory ⋮ The superconformal algebra in higher dimensions ⋮ Almost Robinson geometries ⋮ Ambitwistor strings in six and five dimensions ⋮ Twistor geometry of null foliations in complex Euclidean space ⋮ Twistor origin of the superstring ⋮ Spin structures on real projective quadrics ⋮ Pure spinors, intrinsic torsion and curvature in odd dimensions ⋮ Isotropic Grassmannians, Plücker and Cartan maps

Cites Work

• Constraints and field equations for ten dimensional super Yang-Mills theory
• Remarks on pure spinors
• Twistor-like transform in ten dimensions
• The superconformal algebra in higher dimensions
• Pure spinors as auxiliary fields in the ten-dimensional supersymmetric Yang-Mills theory
• Classical strings in ten dimensions
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• Isotropic geometry and twistors in higher dimensions. I. The generalized Klein correspondence and spinor flags in even dimensions

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