Th e moduli space of Higgs bundles has an extremely rich geometry\, it is a h yperKaehler variety and fibrates over a vector space becoming an integrabl e system named the Hitchin system. Its importance in theoretical physics c omes from the fact that a the dimensional reduction of an N=4 Super Yang-M ills gauge theory can be rewritten as a 2-dimensional sigma-model with the Hitchin system as a target. In this context\, Kapustin and Witten reinter preted the classical limit of S-duality of the original SYM gauge theory a s mirror symmetry in the target (the Hitchin system). They also introduced the appropiate notion of branes in the Hitchin system respecting the hype rKaehler structure. In this talk I will study the behaviour under mirror s ymmetry of a family of branes living on the singular locus of the Hitchin system. I will also describe their geometry and the role of the Borel subg roup. The picture can be generalized to other parabolic subgroups.

LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS T Austria ORGANIZER:jdeanton@ist.ac.at SUMMARY:Branes on the singular locus of the Hitchin system via Borel and ot her parabolic subgroups URL:https://talks-calendar.app.ist.ac.at/events/1413 END:VEVENT END:VCALENDAR