{"paper":{"title":"Modularity, 4d mirror symmetry, and VOA modules of 4d $\\mathcal{N} = 2$ SCFTs with $a = c$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Peihe Yang, Yiwen Pan","submitted_at":"2025-05-07T18:00:53Z","abstract_excerpt":"The infinite series of 4d $\\mathcal{N} = 2$ SCFTs with central charge relation $a_\\text{4d} = c_\\text{4d}$ are closely related to the $\\mathcal{N}=4$ super Yang-Mills. In this paper we study the modular properties of their associated VOAs $\\mathbb{V}[\\mathcal{T}_{p,N}]$ where $\\mathcal{T}_{p, N}$ are those $a = c$ theories with $SU(N)$ gauge group. We exploit the closed-form formula for the Schur index of the $\\mathcal{N} = 4$ $SU(N)$ theories $\\mathcal{T}_{SU(N)}$ to derive the space of characters of the VOA $\\mathbb{V}[\\mathcal{T}_{p,N}]$ and the $S, T$-matrices, and find the (non-monic) mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.04706","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.04706/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"}