Ricci flow, Killing spinors, and T-duality in generalized geometry (Mario Garcia-Fernandez , Madrid)
In this talk we will overview recent work in arXiv:1611.08926, where we introduce a notion of Ricci flow in generalized geometry, extending a previous definition by Gualtieri on exact Courant algebroids. Special stationary points of the flow are given by solutions to first-order differential equations, the Killing spinor equations, which encompass special holonomy metrics with solutions of the Strominger system. We then consider T-duality between possibly topologically distinct torus bundles endowed with Courant structures, and demonstrate that solutions of the equations are exchanged under this symmetry. As applications, we give a mathematical explanation of the "dilaton shift" and prove that the Strominger system is preserved by heterotic T-duality, as defined by Baraglia and Hekmati.
Séminaire "Groupes de Lie et espaces des modules"
Organisé parSection de mathématiques
IntervenantsMario Garcia-Fernandez, Madrid