2007/09/03 by A. I. Karanikas, Karanikas, A. I., C. N. Ktorides +1
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-pressure geophysics and materials #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.48550/arxiv.0709.0206
17 pages
openalex publication_date 2007/09/03 · arxiv created 2007/09/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Adopting as working assumption that the conformal group O(4,2) of Minkowski space, being the largest symmetry group which respects its light cone structure, is the appropriate global symmetry underlying the description of relativistic systems, it is shown that AdS5 uniquely emerges as the space on the boundary of which a corresponding relativistic field system should be accommodated. The basic mathematical tools employed for establishing this result are (a) Cartan's theory of spinors and (b) group contraction methods. Extending our considerations to supersymmetry it is demostrated how an N=1 SUSY YM field system can emerge as a broken version of an N=4 SUSY YM field system. An especially important feature of the presentation is the `unearthing' of seminal, independent from each other, works of I. Segal and of S. Fubini which give a purely field theoretical perspective on the intimate relation between conformally invariant relativistic field theories and AdS5 including, in particular, the warping phenomenon.