Quantum Anti-de Sitter Space at Roots of Unity

2001/02/14 by Harold Steinacker, Steinacker, Harold
Mathematics · Physics and Astronomy · #58B32 #58B34 #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #Relativity and Gravitational Theory #hep-th #math.QA #msc:58B32 #msc:58B34

paper · pdf · doi:10.48550/arxiv.math/0102110

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

arxiv created 2001/02/14 · openalex publication_date 2001/02/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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