{"paper":{"title":"$\\mathcal{N}{=}1$ supersymmetric indices and the four-dimensional A-model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Brian Willett, Cyril Closset, Heeyeon Kim","submitted_at":"2017-07-18T17:55:56Z","abstract_excerpt":"We compute the supersymmetric partition function of $\\mathcal{N}{=}1$ supersymmetric gauge theories with an $R$-symmetry on $\\mathcal{M}_4 \\cong \\mathcal{M}_{g,p}\\times S^1$, a principal elliptic fiber bundle of degree $p$ over a genus-$g$ Riemann surface, $\\Sigma_g$. Equivalently, we compute the generalized supersymmetric index $I_{\\mathcal{M}_{g,p}}$, with the supersymmetric three-manifold ${\\mathcal{M}_{g,p}}$ as the spatial slice. The ordinary $\\mathcal{N}{=}1$ supersymmetric index on the round three-sphere is recovered as a special case. We approach this computation from the point of view"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05774","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"}