Quantum geometry of the universal hypermultiplet

Details Quantum geometry of the universal hypermultiplet Quantum geometry of the universal hypermultiplet

2001-11-08

arxiv.org/abs/hep-th/0111080v1

Fortsch.Phys.50:909-915,2002

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTeX; invited talk at the RTN meeting, Corfu, September 2001

Scientific paper

The universal hypermultiplet moduli space metric in the type-IIA superstring theory compactified on a Calabi-Yau threefold is related to integrable systems. The instanton corrections in four dimensions arise due to multiple wrapping of BPS membranes and fivebranes around certain (supersymmetric) cycles of Calabi-Yau. The exact (non-perturbative) metrics can be calculated in the special cases of (i) the D-instantons (or the wrapped D2-branes) in the absence of fivebranes, and (ii) the fivebrane instantons with vanishing charges, in the absence of D-instantons. The solutions of the first type are governed by the three-dimensional Toda equation, whereas the solutions of the second type are governed by the particular Painleve VI equation.

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