21/10/2013, Monday, 16:30–17:30

Boris Pioline, CERN Geneva
Quantum Hypermultiplet Moduli Spaces in $$N=2$$ String Vacua

The hypermultiplet moduli space $$M_H$$ in type II string theories compactified on a Calabi-Yau threefold $$X$$ is largely constrained by supersymmetry (which demands quaternion-Kählerity), S-duality (which requires an isometric action of $$SL(2, \mathbb{Z})$$) and regularity. Mathematically, $$M_H$$ ought to encode all generalized Donaldson-Thomas invariants on $$X$$ consistently with wall-crossing, modularity and homological mirror symmetry. We review recent progress towards computing the exact metric on $$M_H$$, or rather the exact complex contact structure on its twistor space.