It is known that low energy limits of superstring compactifications over CalabiYau variesties give rise to effective quantum gravity with matter which can be used to construct semirealistic theories. One of the important ingredients is Special Kahler Geometry which describes twopoint functions of the matter fields. Mathematically they are natural metrics on the corresponding CalabiYau variety moduli spaces. The first exact computation was done by Candelas et al. in the wonderful paper where they predicted GromovWitten invariants of the Quintic threefold using complicated geometry of the CalabiYau variety. In the talk I plan to explain the recent advances in this direction, where using connection with LandauGinzburg models we managed to compute the Special geometry for large classes of examples and for higher dimensional moduli spaces. I plan to illustrate it on the Quintic threefold example, where we can compute the geometry on the 101dimensional moduli space compared to the previously known 1dimensional subspace. The presentation will be as elementary and selfcontained as possible.
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Special geometry: superstring compactifications and LandauGinzburg theories
Research Group:
Konstantin Aleshkin
Institution:
SISSA
Location:
A136
Schedule:
Friday, June 8, 2018  14:15
Abstract:
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