MS Seminar (Mathematics - String Theory)

Speaker: Thorsten Schimannek (University of Vienna)
Title: Quantum geometry of genus one fibered Calabi-Yau 3-folds
Date (JST): Tue, Oct 08, 2019, 13:15 - 14:45
Place: Seminar Room A
Related File: 2377.pdf
Abstract: The talk will start with a general introduction to topological strings and topological branes on Calabi-Yau 3-folds. We then discuss the relation between certain auto-equivalences of the category of B-branes on genus one fibered Calabi-Yau threefolds and modularity of the topological string partition function. In particular, properties of the stringy Kahler moduli space allow us to express the relevant actions in terms of Seidel-Thomas twists with respect to the 6-brane and large volume monodromies. The elliptic transformation law of the partition function with respect to volumes of fibral curves then follows from it's general behaviour under monodromies. We then use Higgs transitions among M-theory vacua to generalize the Ansatz for the modular bootstrap from elliptic to general genus one fibrations. Finally, we apply the knowledge about the monodromies as well as the modular bootstrap for genus one fibrations with N-sections in the context of Heterotic - Type II duality.