Universal hypermultiplet metrics

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14 Citations (Scopus)


Some instanton corrections to the universal hypermultiplet moduli space metric of the type IIA string theory compactified on a Calabi-Yau threefold arise due to multiple wrapping of BPS membranes and five-branes around certain cycles of Calabi-Yau. The classical universal hypermultipet metric is locally equivalent to the Bergmann metric of the symmetric quaternionic space SU(2,1)/U(2), whereas its generic quaternionic deformations are governed by the integrable SU(∞) Toda equation. We calculate the exact (non-perturbative) UH metrics in the special cases of (i) the D-instantons (the wrapped D2-branes) in the absence of five-branes, and (ii) the five-brane instantons with vanishing charges, in the absence of D-instantons. The solutions of the first type preserve the U(1)×U(1) classical symmetry, while they can be interpreted as the gravitational dressing of the hyper-Kähler D-instanton solutions. The solutions of the second type preserve the non-abelian SU(2) classical symmetry, while they can be interpreted as the gradient flows in the universal hypermultiplet moduli space.

Original languageEnglish
Pages (from-to)256-280
Number of pages25
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - 18 Jun 2001

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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