{"paper":{"title":"Inherited Duality and Quiver Gauge Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Christian Romelsberger, Nicholas P. Warner, Nick Halmagyi","submitted_at":"2004-06-16T21:18:17Z","abstract_excerpt":"We study the duality group of $\\hat{A}_{n-1}$ quiver gauge theories, primarily using their M5-brane construction. For $\\mathcal{N}=2$ supersymmetry, this duality group was first noted by Witten to be the mapping class group of a torus with $n$ punctures. We find that it is a certain quotient of this group that acts faithfully on gauge couplings. This quotient group contains the affine Weyl group of $\\hat{A}_{n-1}$, $\\mathbb{Z}_n$ and $SL(2,\\mathbb{Z})$. In fact there are $n$ non-commuting $SL(2,\\mathbb{Z})$ subgroups, related to each other by conjugation using the $\\mathbb{Z}_n$. When supersym"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406143","kind":"arxiv","version":2},"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"}