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SUMMARY:Geometry and Connectedness of Heterotic String Compactifications w
 ith Fluxes - de la Ossa\, X (University of Oxford)
DTSTART:20120111T100000Z
DTEND:20120111T110000Z
UID:TALK35310@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will discuss the geometry of heterotic string compactificati
 ons with fluxes. The compactifications on 6 dimensional manifolds which pr
 eserve N=1 supersymmetry in 4 dimensions must be complex conformally balan
 ced manifolds which admit a now-where vanishing holomorphic (3\,0)-form\, 
 together with a holomorphic vector bundle on the manifold which must admit
  a  Hermitian Yang-Mills connection.  The flux\, which can be viewed as a 
 torsion\, is the obstruction to the manifold being Kahler. I will describe
  how these compactifications are connected to the more traditional  compac
 tifications on Calabi-Yau manifolds through geometric transitions like flo
 ps and conifold transitions. For instance\, one can construct solutions by
  flopping rational curves in a Calabi-Yau manifold in such a way that the 
 resulting manifold is no longer Kahler. Time permitting\, I will discuss o
 pen problems\, for example the understanding of the the moduli space of he
 terotic compactifications and the related problem of determining the massl
 ess spectrum in the effective 4 dimensional supersymmetric field theory. T
 he study of these compactifications is interesting on its own right both i
 n string theory\, in order to understand more generally the degrees of fre
 edom of these theories\, and also in mathematics. For instance\, the conne
 ctedness between the solutions is related to problems in mathematics like 
 the conjecture by Miles Reid that complex manifolds with trivial canonical
  bundle are all connected through geometric transitions.
LOCATION:Seminar Room 1\, Newton Institute
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