Quantum Hypermultiplet Moduli Spaces in 𝒩=2 String Vacua: A Review
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Publication:2965164
DOI10.1090/PSPUM/090/01523zbMATH Open1356.81186arXiv1304.0766OpenAlexW2159751122MaRDI QIDQ2965164
Author name not available (Why is that?)
Publication date: 28 February 2017
Published in: (Search for Journal in Brave)
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-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.
Full work available at URL: https://arxiv.org/abs/1304.0766
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