Quantum Hypermultiplet Moduli Spaces in N=2 String Vacua: A Review Auteur(s): Alexandrov S., Manschot Jan, Persson Daniel, Pioline Boris
Conference: STRING-MATH 2012 (Bonn, DE, 2015) Ref HAL: hal-00808906_v1 Ref Arxiv: 1304.0766 DOI: 10.1090/pspum/090/01523 WoS: WOS:000376419100009 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 15 Citations Résumé: 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. Commentaires: 31 pages; Contribution to the Proceedings of String Math 2012 |