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Communication Dans Un Congrès Année : 2015

Quantum Hypermultiplet Moduli Spaces in N=2 String Vacua: A Review

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.

Dates et versions

hal-00808906 , version 1 (08-04-2013)

Identifiants

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Sergey Alexandrov, Jan Manschot, Daniel Persson, Boris Pioline. Quantum Hypermultiplet Moduli Spaces in N=2 String Vacua: A Review. STRING-MATH 2012, 2015, Bonn, Germany. pp.181-211, ⟨10.1090/pspum/090/01523⟩. ⟨hal-00808906⟩
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