Quantum Anti-de Sitter Space at Roots of Unity
arXiv:math/0102110
Abstract
This is a short summary of the paper hep-th/9910037. An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined for q a root of unity, which is covariant under U_q(so(2,D-1)). The scalar fields have an intrinsic high- energy cutoff, and arise most naturally on products of the quantum AdS space with a classical sphere. Hilbert spaces of scalar fields are constructed.
3 pages. Contribution to Proceedings of Euroconference "Noncommutative geometry and Hopf algebras in Field Theory and Particle Physics", Torino, Villa Gualino, (Italy) September 20 -30, 1999