### Abstract

We calculate the scalar potential in the gauged N = 2 supergravity with a single hypermultiplet, whose generic quaternionic moduli space metric has an Abelian isometry. This isometry is gauged by the use of a graviphoton gauge field. The hypermultiplet metric and the scalar potential are both governed by the single real potential that is a solution to the 3d (integrable) continuous Toda equation. An explicit solution, controlled by the Eisenstein series E_{3/2}, is found in the case of the D-instantoncorrected universal hypermultiplet moduli space metric having an U(1) × U(1) isometry, with one of the isometries being gauged.

Original language | English |
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Pages (from-to) | 63-77 |

Number of pages | 15 |

Journal | Nuclear Physics B |

Volume | 656 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 21 Apr 2003 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics