{"paper":{"title":"Chiral Algebra, Localization, Modularity, Surface defects, And All That","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA","math.RT"],"primary_cat":"hep-th","authors_text":"Martin Fluder, Mykola Dedushenko","submitted_at":"2019-04-04T17:59:20Z","abstract_excerpt":"We study the 2D vertex operator algebra (VOA) construction in 4D $\\mathcal{N}=2$ superconformal field theories (SCFT) on $S^3 \\times S^1$, focusing both on old puzzles as well as new observations. The VOA lives on a two-torus $\\mathbb{T}^2\\subset S^3\\times S^1$, it is $\\frac12\\mathbb{Z}$-graded, and this torus is equipped with the natural choice of spin structure (1,0) for the $\\mathbb{Z} +\\frac12$-graded operators, corresponding to the NS sector vacuum character. By analyzing the possible refinements of the Schur index that preserve the VOA, we find that it admits discrete deformations, which"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02704","kind":"arxiv","version":1},"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"}