Krein Spaces in de Sitter Quantum Theories
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Krein Spaces in de Sitter Quantum Theories
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| Creator |
Gazeau, J.P.
Siegl, P. Youssef, A. |
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| Description |
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 Poincaré 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.
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| Date |
2019-02-07T19:05:51Z
2019-02-07T19:05:51Z 2010 |
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| Type |
Article
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| Identifier |
Krein Spaces in de Sitter Quantum Theories / J.P. Gazeau, P. Siegl, A. Youssef // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 31 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81T20; 81R05; 81R20; 22E70; 20C35 http://dspace.nbuv.gov.ua/handle/123456789/146149 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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