[{"keyword":["hyperkaehler geometry","branes","mirror symmetry","T-duality"],"OA_type":"free access","_id":"18443","page":"178","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"abstract":[{"lang":"eng","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"}],"year":"2024","article_processing_charge":"No","day":"24","file":[{"date_created":"2024-10-23T14:42:45Z","creator":"msisak","success":1,"content_type":"application/pdf","checksum":"8c4893e726aaa4b3efb82758da9b6851","access_level":"open_access","relation":"main_file","date_updated":"2024-10-23T14:42:45Z","file_id":"18467","file_name":"MASisak_dissertation.pdf","file_size":1672547},{"file_name":"MASisak_source.zip","file_size":617913,"date_updated":"2024-10-24T08:09:13Z","file_id":"18468","date_created":"2024-10-23T14:43:56Z","creator":"msisak","content_type":"application/x-zip-compressed","relation":"source_file","checksum":"1831b072e861a1e5481024ca9d02b036","access_level":"closed"}],"citation":{"short":"M.A. Sisak, T-Dual Branes on Hyperkähler Manifolds, Institute of Science and Technology Austria, 2024.","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>","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>","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>.","ista":"Sisak MA. 2024. T-dual branes on hyperkähler manifolds. Institute of Science and Technology Austria.","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."},"publication_status":"published","oa":1,"status":"public","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","date_published":"2024-10-24T00:00:00Z","corr_author":"1","OA_place":"publisher","publisher":"Institute of Science and Technology Austria","doi":"10.15479/at:ista:18443","date_created":"2024-10-19T12:00:37Z","author":[{"id":"44A03D04-AEA4-11E9-B225-EA2DE6697425","first_name":"Maria A","last_name":"Sisak","full_name":"Sisak, Maria A"}],"department":[{"_id":"GradSch"},{"_id":"TaHa"}],"alternative_title":["ISTA Thesis"],"date_updated":"2026-04-07T12:42:44Z","project":[{"grant_number":"26069","name":"Branes on hyperkähler manifolds","_id":"6286e8c4-2b32-11ec-9570-f5297902f67f"}],"ddc":["516"],"title":"T-dual branes on hyperkähler manifolds","degree_awarded":"PhD","type":"dissertation","month":"10","has_accepted_license":"1","language":[{"iso":"eng"}],"file_date_updated":"2024-10-24T08:09:13Z","publication_identifier":{"issn":["2663-337X"]},"oa_version":"Published Version","supervisor":[{"last_name":"Hausel","orcid":"0000-0002-9582-2634","full_name":"Hausel, Tamás","first_name":"Tamás","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87"}]}]