Noncommutative field theory on rank one symmetric spaces

DOI10.4171/JNCG/32zbMath1158.81021arXiv0806.4255MaRDI QIDQ960533

Vincent Rivasseau, Pierre Bieliavsky, Razvan Gurau

Publication date: 22 December 2008

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4255

zbMATH Keywords

symmetric spacesnoncommutative geometryquantum field theoryLangmann-Szabo dual

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Quantum field theory on curved space or space-time backgrounds (81T20) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Noncommutative geometry methods in quantum field theory (81T75) Differential geometry of symmetric spaces (53C35)

Related Items (6)

Quantum gravity, field theory and signatures of noncommutative spacetime ⋮ Construction of the noncommutative complex ball ⋮ Strict deformation quantization via geometric quantization in the Bieliavsky plane ⋮ UV/IR duality in noncommutative quantum field theory ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Construction of the Noncommutative Rank I Bergman Domain

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