Duality and statistical mirror symmetry in the generalized geometry setting

We describe statistical mirror symmetry, we introduce the notion of quasi-statistical mirror pairs and we give examples for certain quasi-statistical manifolds. As an application, we get families of almost Ka center dot hler structures on the tangent bundle manifold of almost complex 4-dimensional solvmanifolds without complex structures. Finally, we prove that statistical mirror symmetry can be understood in terms of generalized geometry.

Automated summary

This article introduces the concept of statistical mirror symmetry, the notion of quasi-statistical mirror pairs, and provides examples for certain quasi-statistical manifolds. As an application, it obtains families of almost Ka center dot hler structures on the tangent bundle manifold of almost complex 4-dimensional solvmanifolds without complex structures. Finally, it proves that statistical mirror symmetry can be understood in terms of generalized geometry.