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Krein Spaces in de Sitter Quantum Theories
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SYSNO ASEP 0343071 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Krein Spaces in de Sitter Quantum Theories Author(s) Gazeau, J.P. (FR)
Siegl, Petr (UJF-V) RID
Youssef, A. (FR)Source Title Symmetry, Integrability and Geometry: Methods and Applications. - : Natsional'na Akademiya Nauk Ukrainy - ISSN 1815-0659
Roč. 6, - (2010), 011/1-011/23Number of pages 23 s. Language eng - English Country UA - Ukraine Keywords de Sitter group ; undecomposable representations ; Krein spaces Subject RIV BE - Theoretical Physics CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000274771200006 DOI 10.3842/SIGMA.2010.011 Annotation Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group SO0(1, 4) or Sp(2, 2) as an appealing substitute to the flat space-time Poincare relativity. Quantum elementary systems are then associated to unitary irreducible representations of that simple Lie group. At the lowest limit of the discrete series lies a remarkable family of scalar representations involving Krein structures and related undecomposable representation cohomology which deserves to be thoroughly studied in view of quantization of the corresponding carrier fields. The purpose of this note is to present the mathematical material needed to examine the problem and to indicate possible extensions of an exemplary case, namely the so-called de Sitterian massless minimally coupled field, i.e. a scalar field in de Sitter space-time which does not couple to the Ricci curvature. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2011
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