Nonassociative geometry in quasi-Hopf representation categories. II: Connections and curvature.

DOI10.1016/j.geomphys.2016.04.005zbMath1342.83220arXiv1507.02792OpenAlexW2124403334MaRDI QIDQ295767

Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo

Publication date: 13 June 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02792

zbMATH Keywords

braided monoidal categoriesquasi-Hopf algebrascochain twist quantizationEinstein-Cartan geometryinternal homomorphismsnonassociative theory of gravitynoncommutative/nonassociative differential geometry

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative differential geometry (46L87) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Deformation quantization, star products (53D55) Methods of noncommutative geometry in general relativity (83C65) Hopf algebras and their applications (16T05)

Related Items (12)

Towards a theory of nonassociative gravity ⋮ Weak associativity and deformation quantization ⋮ Braided Cartan calculi and submanifold algebras ⋮ Mapping spaces and automorphism groups of toric noncommutative spaces ⋮ \(G_{2}\)-structures and quantization of non-geometric M-theory backgrounds ⋮ The 2-Hilbert space of a prequantum bundle gerbe ⋮ L ∞ -algebras of Einstein–Cartan–Palatini gravity ⋮ Nonassociative differential geometry and gravity with non-geometric fluxes ⋮ Noncommutative principal bundles through twist deformation ⋮ On the relationship between classical and deformed Hopf fibrations ⋮ Braided \(L_{\infty}\)-algebras, braided field theory and noncommutative gravity ⋮ Braided symmetries in noncommutative field theory

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