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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Geometry and Connectedness of Heterotic String Com
pactifications with Fluxes - de la Ossa\, X (Unive
rsity of Oxford)
DTSTART;TZID=Europe/London:20120111T100000
DTEND;TZID=Europe/London:20120111T110000
UID:TALK35310AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/35310
DESCRIPTION:I will discuss the geometry of heterotic string co
mpactifications with fluxes. The compactifications
on 6 dimensional manifolds which preserve N=1 sup
ersymmetry in 4 dimensions must be complex conform
ally balanced manifolds which admit a now-where va
nishing holomorphic (3\,0)-form\, together with a
holomorphic vector bundle on the manifold which mu
st admit a Hermitian Yang-Mills connection. The
flux\, which can be viewed as a torsion\, is the o
bstruction to the manifold being Kahler. I will de
scribe how these compactifications are connected t
o the more traditional compactifications on Calab
i-Yau manifolds through geometric transitions like
flops and conifold transitions. For instance\, on
e can construct solutions by flopping rational cur
ves in a Calabi-Yau manifold in such a way that th
e resulting manifold is no longer Kahler. Time per
mitting\, I will discuss open problems\, for examp
le the understanding of the the moduli space of he
terotic compactifications and the related problem
of determining the massless spectrum in the effect
ive 4 dimensional supersymmetric field theory. The
study of these compactifications is interesting o
n its own right both in string theory\, in order t
o understand more generally the degrees of freedom
of these theories\, and also in mathematics. For
instance\, the connectedness between the solutions
is related to problems in mathematics like the co
njecture by Miles Reid that complex manifolds with
trivial canonical bundle are all connected throug
h geometric transitions.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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