{"paper":{"title":"Exact WKB of solutions by Borel summation and open TBA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Qianyu Hao","submitted_at":"2025-07-09T14:59:43Z","abstract_excerpt":"In this paper, we study the exact WKB methods for solutions of the Schr\\\"{o}dinger equations corresponding to quantum Seiberg-Witten curves in 4d $\\mathcal{N}=2$ theories with surface defects. The tools are Borel summation and Gaiotto-Moore-Neitzke (GMN) open TBA, which is a conjecture that has largely stayed unexplored so far. We study the Borel plane of the solution regularized by a BPS soliton charge and find that its poles on the Borel plane have the physical meaning of BPS soliton central charges and 4d BPS state central charges. We discuss in detail the discontinuities associated with th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.06922","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/2507.06922/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"}