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SUMMARY:Quasi- Poisson structures\, Courant algebroids and Bianchi identit
 ies for non-geometric fluxes - Deser\, A (Max-Planck-Institut fr Physik\, 
 Mnchen)
DTSTART:20120627T153000Z
DTEND:20120627T154500Z
UID:TALK38692@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The notion of non-geometric flux was introduced in string theo
 ry to correctly describe the degrees of freedom in four-dimensional effect
 ive superpotentials of type II flux compactifications. Whereas the H-flux 
 is simply the field strength of the NS-NS B-field and the f-flux can be in
 terpreted as the structure constants of a non-holonomic basis of the tange
 nt bundle\, the physical and mathematical properties of the remaining Q- a
 nd R-fluxes are to a great extent unknown. In this talk\, we will first us
 e the notion of a (quasi-)Poisson structure to re-derive directly on the t
 angent bundle the commutation relations containing all four fluxes as stru
 cture constants. As a consequence\, we get Bianchi-type identities for the
  fluxes by writing down the Jacobi-identities for the algebra. Using these
  Bianchi-identities and the theory of quasi Lie-algebroids\, we are able t
 o identify the associated Courant algebroid structure\, which is essential
  for dealing with all fluxes being non-zero. \n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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