### Abstract

The non-perturbative corrections to the universal hypermultiplet moduli space metric in the type-IIA superstring compactification on a Calabi - Yau threefold are investigated in the presence of 4d, N = 2 supergravity. These corrections come from multiple wrapping of the BPS (Euclidean) D2-branes around certain (BPS) Calabi - Yau 3-cycles, and they are known as the D-instantons. The exact universal hypermultiplet metric is governed by a quaternionic potential that satisfies the SU(∞) Toda equation. When the supergravity decouples, the metric is hyper-Kähler. We propose the mechanism that gravitationally dress any (D-instanton) hyper-Kähler metric to the (universal hypermultiplet) quaternionic metric of the same dimension.

Original language | English |
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Pages (from-to) | 262-267 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 504 |

Issue number | 3 |

DOIs | |

Publication status | Published - 12 Apr 2001 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics