{"paper":{"title":"M2-branes and $\\mathfrak{q}$-Painlev\\'e equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Alessandro Tanzini, Fran Globlek, Giulio Bonelli, Naotaka Kubo, Tomoki Nosaka","submitted_at":"2022-02-22T03:41:08Z","abstract_excerpt":"In this paper we investigate a novel connection between the effective theory of M2-branes on $(\\mathbb{C}^2/\\mathbb{Z}_2\\times \\mathbb{C}^2/\\mathbb{Z}_2)/\\mathbb{Z}_k$ and the $\\mathfrak{q}$-deformed Painlev\\'e equations, by proposing that the grand canonical partition function of the corresponding four-nodes circular quiver $\\mathcal{N}=4$ Chern-Simons matter theory solves the $\\mathfrak{q}$-Painlev\\'e VI equation. We analyse how this describes the moduli space of the topological string on local $\\text{dP}_5$ and, via geometric engineering, five dimensional $N_f=4$ $\\text{SU}(2)$ $\\mathcal{N}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.10654","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.10654/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}