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Mathematics Department Técnico Técnico

Iberian Strings Meetings  RSS

17/01/2017, 11:30 — 12:00 — Abreu Faro Amphitheatre
André Coimbra, Institut des Hautes Études Scientifiques

Generalised Structures for Supersymmetric Backgrounds

Exceptional generalised geometry provides a language with which one can naturally describe M theory and type II with fluxes. In this talk I will show how G-structures defined on the generalised tangent bundle of the internal compactification space which are torsion-free with respect to the exceptional Dorfman bracket are in one-to-one correspondence with Minkowski backgrounds preserving supersymmetry -- they are the precise analogue of the Calabi-Yau conditions for arbitrary flux compactifications, and their solutions are likewise Ricci-flat in the generalised geometric sense. N=1 AdS flux backgrounds can also be neatly described in this formalism, the torsion-free condition being minimally relaxed to accommodate the cosmological constant, yielding generalised Einstein spaces for the geometry of the internal space.

See also

talk Lisboa_andre_coimbra.pdf