Higher-U(2, 2)-spin fields and higher-dimensional W-gravities: quantum AdS space and radiation Phenomena
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AuthorCalixto Molina, Manuel
Knowledge AreaMatemática Aplicada
SponsorsI wish to acknowledge the “Consejería de Educación y Ciencia, Junta de Andalucía” for a grant-in-aid. I also would like to thank S. Howes for bringing to my attention the Bruhat cell decomposition and for his interest, comments and valuable help; I also extend my gratitude to J.L. Jaramillo. Work partially supported by the DGICYT under project PB98-0520.
Bibliographic CitationCALIXTO MOLINA, Manuel. Higher-U(2, 2)-spin fields and higher-dimensional W-gravities: quantum AdS space and radiation Phenomena. Classical and Quantum Gravity, 18 (18): 3857-3884, Septiembre 2001
KeywordsMayores campos de spin conformacional
Tensor de operadores de álgebras
A physical and geometrical interpretation of previously introduced tensor operator algebras of U(2, 2) in terms of algebras of higher-conformal-spin quantum fields on the anti-de Sitter space AdS5 is provided. These are higher-dimensional W-like algebras and constitute a potential gauge guide principle towards the formulation of induced conformal gravities (Wess-Zumino-Witten-like models) in realistic dimensions. Some remarks on quantum (Moyal) deformations are given and potentially tractable versions of noncommutative AdS spaces are also sketched. The role of conformal symmetry in the microscopic description of Unruh’s and Hawking’s radiation effects is discussed.
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