{"paper":{"title":"A note on rank 5/2 Liouville irregular block, Painlev\\'e 1 and the ${\\cal H}_0$ Argyres-Douglas theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hasmik Poghosyan, Rubik Poghossian","submitted_at":"2023-08-18T15:29:03Z","abstract_excerpt":"We study 4d type ${\\cal H}_0$ Argyres-Douglas theory in $\\Omega$-background by constructing Liouville irregular state of rank 5/2. The results are compared with generalized Holomorphic anomaly approach, which provides order by order expansion in $\\Omega$-background parameters $\\epsilon_{1,2}$. Another crucial test of our results provides comparison with respect to Painlev\\'{e} 1 $\\tau$-function, which was expected to be hold in self-dual case $\\epsilon_1=-\\epsilon_2$. We also discuss Nekrasov-Shatashvili limit $\\epsilon_1=0$, accessible either by means of deformed Seiberg-Witten curve, or WKB "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.09623","kind":"arxiv","version":3},"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/2308.09623/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"}