Establishing the Uniqueness of the Connection between SdS_5 and Conformally Invariant Relativistic Systems: A Group/Field Theoretical Approach

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dc.creatorKaranikas, A. I.
dc.creatorKtorides, C. N.
dc.date2007-09-03
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:24Z
dc.date.available2026-07-07T08:27:24Z
dc.descriptionAdopting 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 AdS$_5$ 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 AdS$_5$ including, in particular, the warping phenomenon.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0709.0206
dc.identifierhttp://arxiv.org/abs/0709.0206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137261
dc.subjectHigh Energy Physics - Theory
dc.titleEstablishing the Uniqueness of the Connection between SdS_5 and Conformally Invariant Relativistic Systems: A Group/Field Theoretical Approach
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