Higher-U(2, 2)-spin fields and higher-dimensional W-gravities: quantum AdS space and radiation Phenomena

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.