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DTSTART:20180325T030000
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DTSTAMP:20200926T025517Z
UID:59cb91e567fb5583148555@ist.ac.at
DTSTART:20180927T133000
DTEND:20180927T153000
DESCRIPTION:Speaker: Emilio Franco\nhosted by Tamas Hausel\nAbstract: The m
oduli space of Higgs bundles has an extremely rich geometry\, it is a hype
rKaehler variety and fibrates over a vector space becoming an integrable s
ystem named the Hitchin system. Its importance in theoretical physics come
s from the fact that a the dimensional reduction of an N=4 Super Yang-Mill
s gauge theory can be rewritten as a 2-dimensional sigma-model with the Hi
tchin system as a target. In this context\, Kapustin and Witten reinterpre
ted the classical limit of S-duality of the original SYM gauge theory as m
irror symmetry in the target (the Hitchin system). They also introduced th
e appropiate notion of branes in the Hitchin system respecting the hyperKa
ehler structure. In this talk I will study the behaviour under mirror symm
etry of a family of branes living on the singular locus of the Hitchin sys
tem. I will also describe their geometry and the role of the Borel subgrou
p. 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
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