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Localization, mirror symmetry and special geometry

Konstantin Aleshkin
Institution: 
SISSA
Location: 
IGAP Seminar room ("new SISSA building" in via Beirut, II floor)
Location: 
SISSA campus Miramare, room E
Schedule: 
Tuesday, April 16, 2019 - 14:30
Abstract: 

Partition functions of N=(2,2) supersymmetric two-dimensional gauge linear sigmamodels on a sphere can be computed exactly. When vacua manifold of the model is a Calabi-Yaumanifold it was conjectured that the partition function computes special Kahlergeometry (in particular Gromow-Witten invariants) on the quantum moduli space ofKahler class deformations of the Calabi-Yau.In the talk I will present the mirror symmetric version of this conjecture andprove it for a class of Calabi-Yau manifolds. In particular, I will show thatnatural gauge theory couplings are most easily connected with complex structuredeformations rather than with the Kahler class deformations.

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