Mathematical Physics and String Theory

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(07.02.) Mirror Symmetry of Branes and the Quest of Hyperbolic 3-manifolds

Hans Jockers (Bonn)

07.02.2019 at 16:15

Mirror symmetry is a powerful duality between type II string compactifications on a pair of mirror dual Calabi-Yau manifolds. Apart from its relevance in determining non-perturbative corrections to the low energy effective action and in computing enumerative invariants of Calabi-Yau manifolds, mirror symmetry also predicts an equivalence between the set of D-brane states appearing in such a pair of mirror dual Calabi-Yau compactifications. In this talk we review some general aspects of mirror symmetry on the level of D-branes. We give evidence and illustrate with an example that for particular classes of D-branes in Calabi-Yau 3-folds the corresponding mirror branes in the mirror geometry are associated with hyperbolic 3-manifolds. This talk is based on work in progress with Dave Morrison and Johannes Walcher.

Arnold Sommerfeld Center
Theresienstrasse 37
Room 348