Quantum hypermultiplet moduli spaces in N=2 string vacua: a review
Paper in proceedings, 2015

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-K\"ahlerity), 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.

Author

Daniel Persson

Chalmers, Fundamental Physics

Jan Manschot

Sergei Alexandrov

Boris Pioline

Proceedings of Symposia in Pure Mathematics - Conference on String-Math 2012

2324-707X (ISSN)

Vol. 90 181-211
978-0-8218-9495-8 (ISBN)

Subject Categories

Mathematics

Geometry

Other Physics Topics

Roots

Basic sciences

DOI

10.1090/pspum/090/01523

ISBN

978-0-8218-9495-8

More information

Created

10/7/2017