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Quantum hypermultiplet moduli spaces in N=2 string vacua: a review

Daniel Persson (Institutionen för fundamental fysik) ; Jan Manschot ; Sergei Alexandrov ; Boris Pioline
Proceedings of Symposia in Pure Mathematics - Conference on String-Math 2012 (2324-707X). Vol. 90 (2015), p. 181-211.
[Konferensbidrag, refereegranskat]

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.



Denna post skapades 2014-01-15. Senast ändrad 2016-07-04.
CPL Pubid: 192461

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik (2005-2015)

Ämnesområden

Geometri
Algebra och geometri
Matematisk fysik
Relativitetsteori, gravitation

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