Higher-U(2, 2)-spin fields and higher-dimensional W-gravities: quantum AdS space and radiation Phenomena
Author
Calixto Molina, ManuelKnowledge Area
Matemática AplicadaSponsors
I 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.Publication date
2001-09-21Publisher
IOPBibliographic Citation
CALIXTO 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 2001Keywords
Mayores campos de spin conformacionalGravitaciones W
Tensor de operadores de álgebras
Espacios AdS
Abstract
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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