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Dualities and fivebrane instantons

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Abstract

We derive the fivebrane instanton corrections to the hypermultiplet moduli space \( {\mathrm{\mathcal{M}}}_H \) of Calabi-Yau string vacua using S-duality symmetry of the type IIB formulation. The result is given in terms of a set of holomorphic functions on the twistor space of \( {\mathrm{\mathcal{M}}}_H \). It contains not only all orders of the instanton expansion, but also takes into account the presence of D1-D(-1)-brane instantons. Furthermore, we provide a thorough study of the group of discrete isometries of \( {\mathrm{\mathcal{M}}}_H \) and show that its closure requires a modification of certain symmetry transformations. After this modification, the fivebrane instantons are proven to be consistent with the full duality group.


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