[{"publication_identifier":{"issn":["2663-337X"]},"abstract":[{"text":"In [KW06] Kapustin and Witten conjectured that there is a mirror symmetry relation between\r\nthe hyperkähler structures on certain Higgs bundle moduli spaces. As a consequence, they\r\nconjecture an equivalence between categories of BBB and BAA-branes. At the classical\r\nlevel, this mirror symmetry is given by T-duality between semi-flat hyperkähler structures on\r\nalgebraic integrable systems.\r\nIn this thesis, we investigate the T-duality relation between hyperkähler structures and the\r\ncorresponding branes on affine torus bundles. We use the techniques of generalized geometry\r\nto show that semi-flat hyperkähler structures are T-dual on algebraic integrable systems.\r\nWe also describe T-duality for generalized branes. Motivated by Fourier-Mukai transform\r\nwe upgrade the T-duality between generalized branes to T-duality of submanifolds endowed\r\nwith U(1)-bundles and connections. This T-duality in the appropriate context specializes to\r\nT-duality between BBB and BAA-branes.\r\n","lang":"eng"}],"title":"T-dual branes on hyperkähler manifolds","publisher":"Institute of Science and Technology Austria","file":[{"file_id":"18467","checksum":"8c4893e726aaa4b3efb82758da9b6851","content_type":"application/pdf","success":1,"date_updated":"2024-10-23T14:42:45Z","file_name":"MASisak_dissertation.pdf","access_level":"open_access","file_size":1672547,"creator":"msisak","relation":"main_file","date_created":"2024-10-23T14:42:45Z"},{"file_size":617913,"access_level":"closed","creator":"msisak","relation":"source_file","date_created":"2024-10-23T14:43:56Z","file_name":"MASisak_source.zip","date_updated":"2024-10-24T08:09:13Z","file_id":"18468","checksum":"1831b072e861a1e5481024ca9d02b036","content_type":"application/x-zip-compressed"}],"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"keyword":["hyperkaehler geometry","branes","mirror symmetry","T-duality"],"date_updated":"2026-04-07T12:42:44Z","doi":"10.15479/at:ista:18443","status":"public","project":[{"_id":"6286e8c4-2b32-11ec-9570-f5297902f67f","grant_number":"26069","name":"Branes on hyperkähler manifolds"}],"year":"2024","file_date_updated":"2024-10-24T08:09:13Z","license":"https://creativecommons.org/licenses/by/4.0/","date_created":"2024-10-19T12:00:37Z","_id":"18443","date_published":"2024-10-24T00:00:00Z","type":"dissertation","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","day":"24","article_processing_charge":"No","citation":{"mla":"Sisak, Maria A. <i>T-Dual Branes on Hyperkähler Manifolds</i>. Institute of Science and Technology Austria, 2024, doi:<a href=\"https://doi.org/10.15479/at:ista:18443\">10.15479/at:ista:18443</a>.","chicago":"Sisak, Maria A. “T-Dual Branes on Hyperkähler Manifolds.” Institute of Science and Technology Austria, 2024. <a href=\"https://doi.org/10.15479/at:ista:18443\">https://doi.org/10.15479/at:ista:18443</a>.","ieee":"M. A. Sisak, “T-dual branes on hyperkähler manifolds,” Institute of Science and Technology Austria, 2024.","ista":"Sisak MA. 2024. T-dual branes on hyperkähler manifolds. Institute of Science and Technology Austria.","apa":"Sisak, M. A. (2024). <i>T-dual branes on hyperkähler manifolds</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:18443\">https://doi.org/10.15479/at:ista:18443</a>","ama":"Sisak MA. T-dual branes on hyperkähler manifolds. 2024. doi:<a href=\"https://doi.org/10.15479/at:ista:18443\">10.15479/at:ista:18443</a>","short":"M.A. Sisak, T-Dual Branes on Hyperkähler Manifolds, Institute of Science and Technology Austria, 2024."},"corr_author":"1","OA_type":"free access","has_accepted_license":"1","degree_awarded":"PhD","alternative_title":["ISTA Thesis"],"OA_place":"publisher","supervisor":[{"orcid":"0000-0002-9582-2634","full_name":"Hausel, Tamás","last_name":"Hausel","first_name":"Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"}],"language":[{"iso":"eng"}],"oa_version":"Published Version","page":"178","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"author":[{"full_name":"Sisak, Maria A","last_name":"Sisak","first_name":"Maria A","id":"44A03D04-AEA4-11E9-B225-EA2DE6697425"}],"publication_status":"published","month":"10","ddc":["516"]}]