Quantum Anti-de Sitter Space at Roots of Unity
Harold Steinacker
Abstract
This is a short summary of the paper hep-th/9910037. An algebra of functions on q-deformed Anti-de Sitter space AdSqD is defined for q a root of unity, which is covariant under Uq(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.
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