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SUMMARY:Progress on supersymmetric solutions of gauged supergravities
DTSTART;VALUE=DATE-TIME:20170424T084000Z
DTEND;VALUE=DATE-TIME:20170424T092500Z
DTSTAMP;VALUE=DATE-TIME:20200127T140245Z
UID:indico-contribution-2380@indico.mitp.Uni-Mainz.DE
DESCRIPTION:Speakers: Tomas Ortin (IFT-UAM/CSIC)\nThe construction of supe
rsymmetric solutions of gauged supergravities in N=2\, d=4 and 5 dimension
s is a very complicated\, highly non-linear problem both in the Abelian an
d non-Abelian cases. In the N=2\,d=5 Abelian case we have recently propose
d a new Ansatz for the Kaehler base space that simplifies the problem and
establishes a connection with the N=2\,d=4 case\, for cubic models [arXiv:
1611.09383]. In the non-Abelian case we have characterized all the timelik
e supersymmetric solutions (arXiv:0806.1477\, arXiv:1512.07131) and we hav
e constructed\, analytically\, (multi) black-hole\, black-ring and black-s
tring solutions and also globally-regular monopoles and instanton solution
s with non-trivial SU(2) fields. The fact that they are given in a fully
analytic solution (unlike all the previous non-Abelian solutions known so
far) allows us to study them in detail. We find that they exhibit glaring
violations of the no-hair conjecture. We embed some of these solutions in
10-dimensional Heterotic string theory to identify their elementary brane
constituents and compute their entropy (when there is a horizon) from a mi
croscopic point of view.\nA very important role in our constructions is pl
ayed by the relation found by Kronheimer between monopoles in $R^3$ and i
nstantons in 4-dimensional hyper-Kaehler spaces admitting the action of a
U(1) group. We use it to construct multi-dyonic instanton solutions. We a
lso find that singular monopoles\, usually discarded\, can be used in blac
k-hole solutions since the singularities are covered or smoothed by the no
n-trivial geometry.\n\nhttps://indico.mitp.uni-mainz.de/event/78/contribut
ions/2380/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2380/
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