On conformal infinity and compactifications of the Minkowski space

DOI10.1007/s00006-011-0285-5zbMath1246.53098arXiv1008.4703OpenAlexW2145553080MaRDI QIDQ411150

Arkadiusz Jadczyk

Publication date: 4 April 2012

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4703

zbMATH Keywords

compactificationMinkowski space-timeGrassmann manifoldnull geodesicsPenrose diagramconformal grouptwistorsconformal infinitybivectorsClifford algebra \(C\ell (4, 2)\)conformal inversionconformal spinorsHodge starSO(4,2)SU(2,2)SU(2)U(2)

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

START in a five-dimensional conformal domain ⋮ Cayley transform and the Kronecker product of Hermitian matrices ⋮ Geometry and shape of Minkowski's space conformal infinity ⋮ The dual conformal box integral in Minkowski space ⋮ Gravitation on a homogeneous domain

Cites Work

• About twistor spinors with zero in Lorentzian geometry
• Some global properties of massless free fields
• A new definition of conformal and projective infinity of space-times
• Vertex algebras in higher dimensions and globally conformal invariant quantum field theory
• The causal boundary of spacetimes revisited
• A geometrical approach to the twistor formalism
• Distributions on Minkowski space and their connection with analytic representations of the conformal group
• On conformally-flat spaces in the large
• Hyperboloidal foliations and scri-fixing
• Twistors and induced representations of SU(2,2)
• Zero rest-mass fields including gravitation: asymptotic behaviour
• Twistor Algebra
• The Large Scale Structure of Space-Time
• Rationality of conformally invariant local correlation functions on compactified Minkowski space
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