Beyond Aztec castles: toric cascades in the \(dP_3\) quiver

DOI10.1007/s00220-017-2993-8zbMath1401.13066arXiv1512.00507OpenAlexW2964279235MaRDI QIDQ1686019

Gregg Musiker, Tri Lai

Publication date: 20 December 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00507

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Representations of quivers and partially ordered sets (16G20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Cluster algebras (13F60)

Related Items

Tiling enumeration of hexagons with off-central holes ⋮ Perfect matchings of trimmed Aztec rectangles ⋮ Toric mutations in the \(\mathrm{dp}_2\) quiver and subgraphs of the \(\mathrm{dp}_2\) brane tiling ⋮ Mixed dimer configuration model in type D cluster algebras ⋮ Dungeons and dragons: combinatorics for the \(dP_3\) quiver ⋮ A comprehensive survey of brane tilings ⋮ Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations ⋮ The cluster modular group of the dimer model ⋮ Combinatorics of the double-dimer model ⋮ Combinatorics of the double-dimer model ⋮ Lozenge tilings of hexagons with central holes and dents

Uses Software

• SageMath
• Quiver

Cites Work

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