Dualities and fivebrane instantons

Abstract

We derive the fivebrane instanton corrections to the hypermultiplet moduli space $M_H$ 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 $M_H$. 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 $M_H$ 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.

38 pages, 3 figures; minor corrections; added some clarifications

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Cited by in corpus (18)

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• Multiple D3-instantons and mock modular forms I
• D-instantons in Type IIA string theory on Calabi-Yau threefolds
• Euclidean D-branes in Type IIB string theory on Calabi-Yau threefolds
• D-instanton Induced Superpotential
• Multiple D3-instantons and mock modular forms II
• Hypermultiplet metric and D-instantons
• Rigid limit for hypermultiplets and five-dimensional gauge theories
• Hypermultiplet metric and NS5-instantons
• K3 metrics from little string theory
• Refinement and modularity of immortal dyons
• Mock modularity at work, or black holes in a forest
• Non-perturbative scalar potential inspired by type IIA strings on rigid CY
• Resurgence of Refined Topological Strings and Dual Partition Functions
• Membrane Instantons from Toda Field Theory
• S-duality and the universal isometries of instanton corrected q-map spaces
• Calabi-Yau compactification of type II string theories
• Quantum TBA for refined BPS indices