Klein and conformal superspaces, split algebras and spinor orbits

DOI10.1142/S0129055X17500118zbMath1396.17001arXiv1603.09063MaRDI QIDQ5348810

Alessio Marrani, Emanuele Latini, Rita Fioresi

Publication date: 21 August 2017

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

Full work available at URL: https://arxiv.org/abs/1603.09063

zbMATH Keywords

division algebrassplit signaturesuper geometryspinor orbits

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Clifford algebras, spinors (15A66) Complex supergeometry (32C11) Nonassociative division algebras (17A35) Division algebras and Jordan algebras (17C60)

Related Items (3)

Basic quantizations of \(D=4\) Euclidean, Lorentz, Kleinian and quaternionic \( {\mathfrak{o}}^{\star}(4) \) symmetries ⋮ The q-linked complex Minkowski space, its real forms and deformed isometry groups ⋮ Quantum Klein space and superspace

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Super Yang-Mills, division algebras and triality
• The Peter-Weyl theorem for \(\mathrm{SU}(1|1)\)
• Division algebras and supersymmetry. III
• Spectrum generating conformal and quasiconformal U-duality groups, supergravity and spherical vectors
• The magic square of Lie groups: the \(2 \times 2\) case
• SUSY structures, representations and Peter-Weyl theorem for \(S^{1 | 1}\)
• On the magical supergravities in six dimensions
• The quantum chiral Minkowski and conformal superspaces
• Perturbative gauge theory as a string theory in twistor space
• The local functors of points of supermanifolds
• Tractors, mass, and Weyl invariance
• Mappings of supermanifolds
• On the definition of superspace
• Spinors of 13-dimensional space
• Circular and hyperbolic quaternions, octonions, and sedenions - further results
• Magic squares and matrix models of Lie algebras.
• A taste of Jordan algebras
• Timelike T-duality, de Sitter space, large \(N\) gauge theories and topological field theory
• Duality and the signature of space-time
• Global symmetries of Yang-Mills squared in various dimensions
• Division algebras and supersymmetry. IV
• Conformally compactified Minkowski superspaces revisited
• Thomas's structure bundle for conformal, projective and related structures
• Division algebras and supersymmetry. II
• Mathematical foundations of supersymmetry
• Lie groups in the foundations of geometry
• Magic coset decompositions
• SELF-DUALITY AND N=2 STRING MAGIC
• The symplectic origin of conformal and Minkowski superspaces
• Pseudo-Riemannian VSI spaces II
• On Chiral Quantum Superspaces
• Division algebra representations of SO(4, 2)
• The Minkowski and Conformal Superspaces
• Division Algebras and Supersymmetry I
• Octonionic Cayley Spinors and E6
• The Geometry of the Octonions
• Quadratic deformation of Minkowski space
• Division algebras, (pseudo)orthogonal groups and spinors
• Geometry of Killing spinors in neutral signature
• The Minkowski and conformal superspaces
• Convex cones, Jordan algebras and the geometry of d=9 Maxwell-Einstein supergravity
• Nonlinear spinor representations
• The Classification of Spinors Under GSpin 14 Over Finite Fields
• String Theory
• Quantizations of Flag Manifolds and Conformal Space Time
• The octonions
• Anti-self-dual four–manifolds with a parallel real spinor
• Quantum deformation of the flag variety
• A COMPARISON OF THE FUNCTORS OF POINTS OF SUPERMANIFOLDS
• An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
• Poincaré–Einstein holography for forms via conformal geometry in the bulk
• Einstein–Maxwell dilaton metrics from three-dimensional Einstein–Weyl structures
• A Symplectic Representation of $\mathrm{E}_7$
• Twistor Algebra
• A Classification of Spinors Up to Dimension Twelve
• Super-Poincaré covariant quantization of the superstring
• Spinor algebras

This page was built for publication: Klein and conformal superspaces, split algebras and spinor orbits