On Representations of the Quantum Holonomy Diffeomorphism Algebra

DOI10.1002/PROP.201800080arXiv1709.02943OpenAlexW2963300293MaRDI QIDQ6086686

Johannes Aastrup, Jesper Møller Grimstrup

Publication date: 10 November 2023

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02943

zbMATH Keywords

noncommutative geometryquantum gravitymathematical physicsnon-perturbative

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• Spectral triples of holonomy loops
• \(C^\ast\)-algebras of holonomy-diffeomorphisms \& quantum gravity. II
• On spectral triples in quantum gravity. II.
• Why the standard model
• The quantum holonomy-diffeomorphism algebra and quantum gravity
• Quantum holonomy theory
• UNIFORM BOUNDS FOR EIGENFUNCTIONS OF THE LAPLACIAN ON MANIFOLDS WITH BOUNDARY*
• On spectral triples in quantum gravity: I
• Background independent quantum gravity: a status report
• C *-algebras of holonomy-diffeomorphisms and quantum gravity: I
• On a lattice-independent formulation of quantum holonomy theory
• From quantum gravity to quantum field theory via noncommutative geometry
• Loop quantum gravity: an outside view

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