{"paper":{"title":"Exact partition functions for deformed $\\mathcal{N}=2$ theories with $N_{f}=4$ flavours","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alberto Fachechi, Guido Macorini, Luigi Martina, Matteo Beccaria","submitted_at":"2016-09-05T15:01:46Z","abstract_excerpt":"We consider the $\\Omega$-deformed $\\mathcal{N}=2$ $SU(2)$ gauge theory in four dimensions with $N_{f}=4$ massive fundamental hypermultiplets. The low energy effective action depends on the deformation parameters $\\varepsilon_{1}, \\varepsilon_{2}$, the scalar field expectation value $a$, and the hypermultiplet masses ${\\bf m}=(m_{1}, m_{2}, m_{3}, m_{4})$. Motivated by recent findings in the $\\mathcal{N}=2^{*}$ theory, we explore the theories that are characterized by special fixed ratios $\\varepsilon_{2}/\\varepsilon_{1}$ and ${\\bf m}/\\varepsilon_{1}$ and propose a simple condition on the struc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01189","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"}