%0 Journal Article
%T Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
%+ Laboratoire de Physique Théorique et Astroparticules (LPTA)
%+ Institute for Theoretical Physics [ETH Zürich] (ITP)
%+ Laboratoire de Physique Théorique et Hautes Energies (LPTHE)
%A Alexandrov, Sergey
%A Persson, Daniel
%A Pioline, Boris
%Z 73 pages
%< avec comité de lecture
%Z LPTA:10-077
%@ 1126-6708
%J Journal of High Energy Physics
%I Springer
%V 2011
%N 3
%P 111
%8 2011-03-23
%D 2011
%Z 1010.5792
%R 10.1007/jhep03(2011)111
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X We investigate quantum corrections to the hypermultiplet moduli space M in Calabi-Yau compactifications of type II string theories, with particular emphasis on instanton effects from Euclidean NS5-branes. Based on the consistency of D- and NS5-instanton corrections, we determine the topology of the hypermultiplet moduli space at fixed string coupling and Calabi-Yau metric, as previewed in arXiv:1009.3026. On the type IIB side, we compute corrections from (p,k)-fivebrane instantons to the metric on M (specifically, the correction to the complex contact structure on its twistor space Z) by applying S-duality to the D-instanton sum. For fixed fivebrane charge k, the corrections can be written as a non-Gaussian theta series, whose summand for k=1 reduces to the topological A-model amplitude. By mirror symmetry, instanton corrections induced from the chiral type IIA NS5-brane are similarly governed by the wave function of the topological B-model. In the course of this investigation we clarify charge quantization for coherent sheaves and find hitherto unnoticed corrections to the Heisenberg, monodromy and S-duality actions on M, as well as to the mirror map for Ramond-Ramond fields and D-brane charges.
%G English
%L hal-00531360
%U https://hal.science/hal-00531360
%~ IN2P3
%~ UNIV-PARIS7
%~ UPMC
%~ LPTA
%~ CNRS
%~ LPTHE
%~ UNIV-MONTP2
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%~ UNIV-MONTPELLIER
%~ SORBONNE-UNIVERSITE
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%~ UNIV-PARIS
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%~ ALLIANCE-SU
%~ UM1-UM2