On the central geometry of nonnoetherian dimer algebras

DOI10.1016/j.jpaa.2020.106590zbMath1469.14004arXiv1903.10460OpenAlexW3096410709MaRDI QIDQ2022439

Charlie Beil

Publication date: 29 April 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10460

zbMATH Keywords

dimer algebraCalabi-Yau singularitynonnoetherian geometrynonnoetherian ring

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (9)

Examples of geodesic ghor algebras on hyperbolic surfaces ⋮ Spacetime geometry of spin, polarization, and wavefunction collapse ⋮ Dimer algebras, ghor algebras, and cyclic contractions ⋮ Nonnoetherian singularities and their noncommutative blowups ⋮ A combinatorial derivation of the standard model interactions from the Dirac Lagrangian ⋮ A derivation of the standard model particles from internal spacetime ⋮ NONNOETHERIAN HOMOTOPY DIMER ALGEBRAS AND NONCOMMUTATIVE CREPANT RESOLUTIONS ⋮ Cyclic contractions of dimer algebras always exist ⋮ Noetherian criteria for dimer algebras

Cites Work

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• Consistency conditions for brane tilings
• Bipartite field theories and D-brane instantons
• Gauge theories and dessins d'enfants: beyond the torus
• Noetherian criteria for dimer algebras
• Nonnoetherian geometry
• Dimer models and cluster categories of Grassmannians
• Dimer models and Calabi-Yau algebras
• Morita equivalences and Azumaya loci from Higgsing dimer algebras

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