---
res:
bibo_abstract:
- "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@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Maria A
foaf_name: Sisak, Maria A
foaf_surname: Sisak
foaf_workInfoHomepage: http://www.librecat.org/personId=44A03D04-AEA4-11E9-B225-EA2DE6697425
bibo_doi: 10.15479/at:ista:18443
dct_date: 2024^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/2663-337X
dct_language: eng
dct_publisher: Institute of Science and Technology Austria@
dct_subject:
- hyperkaehler geometry
- branes
- mirror symmetry
- T-duality
dct_title: T-dual branes on hyperkähler manifolds@
...