Quantum anti-De Sitter space at roots of unity

摘要

An algebra of functions on q-deformed Anti-de Sitter space AdS(q)(D) With star-structure is defined for roots 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. [References: 8]