D-instantons and twistors: some exact results

Abstract

We present some results on instanton corrections to the hypermultiplet moduli space in Calabi-Yau compactifications of Type II string theories. Previously, using twistor methods, only a class of D-instantons (D2-instantons wrapping A-cycles) was incorporated exactly and the rest was treated only linearly. We go beyond the linear approximation and give a set of holomorphic functions which, through a known procedure, capture the effect of D-instantons at all orders. Moreover, we show that for a sector where all instanton charges have vanishing symplectic invariant scalar product, the hypermultiplet metric can be computed explicitly.

32 pages, 3 figures, uses JHEP3.cls; some changes in section 3.3.3; corrected formula for the contact potential

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• D-instanton Induced Superpotential
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• S-duality in Twistor Space
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• c-map as c=1 string
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• No inflation in type IIA strings on rigid CY spaces
• Quantum TBA for refined BPS indices
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• Calabi-Yau compactification of type II string theories