Quantum hypermultiplet moduli spaces in N=2 string vacua: a review
arXiv:1304.0766
Abstract
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, 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.
31 pages; Contribution to the Proceedings of String Math 2012; v2: references added, misprints corrected, published version
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- N=2 higher-derivative couplings from strings
- Modularity, Quaternion-Kahler spaces and Mirror Symmetry
- The rigid limit of N=2 supergravity