D-instantons and twistors: some exact results

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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35 pages, 3 figures, uses JHEP3.cls; some changes in section 3.3.3

Scientific paper

10.1088/1751-8113/42/33/335402

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.

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