Geometric Construction of AdS Twistors

Abstract

Time-like geodesics in AdS_4, AdS_5 and AdS_7 are constructed geometrically and independently of choice of AdS coordinates from division algebra spinors of the corresponding AdS groups, explaining and generalising the construction by Claus et al. of AdS_5 twistors.

11 pp, 1 figure

References in corpus (5)

• Super-Poincare Covariant Quantization of the Superstring
• Supertwistors as Quarks of SU(2,2|4)
• OSp supergroup manifolds, superparticles and supertwistors
• BRST Quantization of a Particle in AdS_5
• Twistors and Actions on Coset Manifolds

Cited by in corpus (13)

• Conformal structures and twistors in the paravector model of spacetime
• Revisiting Clifford algebras and spinors III: conformal structures and twistors in the paravector model of spacetime
• Anti-de Sitter particles and manifest (super)isometries
• Supertwistor realisations of AdS superspaces
• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
• Supertwistor formulation for massless superparticle in $Ad{S}_5\times S^5$ superspace
• Twistor description of spinning particles in AdS
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• Embedding formalism for $\mathcal{N}$-extended AdS superspace in four dimensions
• Twistors and supertwistors for exceptional field theory
• Embedding formalism for $(p,q)$ AdS superspaces in three dimensions
• A no-go theorem for the $n$-twistor description of a massive particle
• Massless spinning particle and null-string on $Ad{S}_d$: projective-space approach