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 Kahler 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.
Duality and statistical mirror symmetry in the generalized geometry setting / Antonella Nannicini; Adara M. Blaga. - In: FILOMAT. - ISSN 0354-5180. - STAMPA. - 37:(2023), pp. 2577-2586.
Duality and statistical mirror symmetry in the generalized geometry setting
Antonella Nannicini;
2023
Abstract
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 Kahler 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.
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