Geometric Construction of AdS Twistors
Martin Cederwall
TL;DR
This paper presents a geometric method to construct time-like geodesics in various Anti-de Sitter spaces using division algebra spinors, generalizing previous twistor constructions.
Contribution
It introduces a coordinate-independent geometric construction of AdS twistors based on division algebra spinors, extending prior work to multiple AdS dimensions.
Findings
Constructs time-like geodesics in AdS spaces geometrically
Provides a unified framework for AdS_4, AdS_5, and AdS_7
Generalizes previous twistor constructions by Claus et al.
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.
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