Quantum geometry of the universal hypermultiplet

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5 Citations (Scopus)


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 Painlevé VI equation.

Original languageEnglish
Pages (from-to)909-915
Number of pages7
JournalFortschritte der Physik
Issue number8-9
Publication statusPublished - 2002

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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