%0 Conference Proceedings
%T Quantum Hypermultiplet Moduli Spaces in N=2 String Vacua: A Review
%+ Laboratoire Charles Coulomb (L2C)
%+ Max Planck Institute for Mathematics (MPIM)
%+ Chalmers University of Technology [Göteborg]
%+ Laboratoire de Physique Théorique et Hautes Energies (LPTHE)
%A Alexandrov, Sergey
%A Manschot, Jan
%A Persson, Daniel
%A Pioline, Boris
%Z 31 pages; Contribution to the Proceedings of String Math 2012
%< avec comité de lecture
%Z L2C:13-391
%( Proceedings of Symposia in Pure Mathematics
%B STRING-MATH 2012
%C Bonn, Germany
%V 90
%P 181-211
%8 2015
%D 2015
%Z 1304.0766
%R 10.1090/pspum/090/01523
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Conference papers
%X 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.
%G English
%L hal-00808906
%U https://hal.science/hal-00808906
%~ UPMC
%~ CNRS
%~ LPTHE
%~ L2C
%~ UPMC_POLE_2
%~ MIPS
%~ UNIV-MONTPELLIER
%~ SORBONNE-UNIVERSITE
%~ SU-SCIENCES
%~ SU-TI
%~ ALLIANCE-SU
%~ UM-2015-2021