{"paper":{"title":"The K\\\"ahler Quotient Resolution of $\\mathbb{C}^3/\\Gamma$ singularities, the McKay correspondence and D=3 $\\mathcal{N}=2$ Chern-Simons gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Anna Fino, Pietro Fr\\'e, Ugo Bruzzo","submitted_at":"2017-10-03T09:24:33Z","abstract_excerpt":"We advocate that a generalized Kronheimer construction of the K\\\"ahler quotient crepant resolution $\\mathcal{M}_\\zeta \\longrightarrow \\mathbb{C}^3/\\Gamma$ of an orbifold singularity where $\\Gamma\\subset \\mathrm{SU(3)}$ is a finite subgroup naturally defines the field content and interaction structure of a superconformal Chern-Simons Gauge Theory. This is supposedly the dual of an M2-brane solution of $D=11$ supergravity with $\\mathbb{C}\\times\\mathcal{M}_\\zeta$ as transverse space. We illustrate and discuss many aspects of this of constructions emphasizing that the equation $\\pmb{p}\\wedge\\pmb{p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01046","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}