%0 Journal Article
%T S-duality in Twistor Space
%+ Laboratoire Charles Coulomb (L2C)
%+ Laboratoire de Physique Théorique et Hautes Energies (LPTHE)
%A Alexandrov, Sergey
%A Pioline, Boris
%Z 29 pages, 1 figure
%< avec comité de lecture
%Z L2C:12-064
%@ 1126-6708
%J Journal of High Energy Physics
%I Springer
%P 112
%8 2012-08-23
%D 2012
%Z 1206.1341
%R 10.1007/JHEP08(2012)112
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X In type IIB string compactifications on a Calabi-Yau threefold, the hypermultiplet moduli space $M_H$ must carry an isometric action of the modular group SL(2,Z), inherited from the S-duality symmetry of type IIB string theory in ten dimensions. We investigate how this modular symmetry is realized at the level of the twistor space of $M_H$, and construct a general class of SL(2,Z)-invariant quaternion-Kahler metrics with two commuting isometries, parametrized by a suitably covariant family of holomorphic transition functions. This family should include $M_H$ corrected by D3-D1-D(-1)-instantons (with fivebrane corrections ignored) and, after taking a suitable rigid limit, the Coulomb branch of five-dimensional N=2 gauge theories compactified on a torus, including monopole string instantons. These results allow us to considerably simplify the derivation of the mirror map between type IIA and IIB fields in the sector where only D1-D(-1)-instantons are retained.
%G English
%2 https://hal.science/hal-00705850/document
%2 https://hal.science/hal-00705850/file/Alexandrov-Pioline2012_Article_S-dualityInTwistorSpace.pdf
%L hal-00705850
%U https://hal.science/hal-00705850
%~ UNIV-PARIS7
%~ UPMC
%~ CNRS
%~ LPTHE
%~ L2C
%~ UPMC_POLE_2
%~ MIPS
%~ UNIV-MONTPELLIER
%~ SORBONNE-UNIVERSITE
%~ SU-SCIENCES
%~ UNIV-PARIS
%~ SU-TI
%~ ALLIANCE-SU
%~ UM-2015-2021