Quantum Anti-de Sitter Space at Roots of Unity

Details Quantum Anti-de Sitter Space at Roots of Unity Quantum Anti-de Sitter Space at Roots of Unity

2001-02-14

arxiv.org/abs/math/0102110v1

Mathematics

Quantum Algebra

3 pages. Contribution to Proceedings of Euroconference "Noncommutative geometry and Hopf algebras in Field Theory and Particle

Scientific paper

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.

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