### 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

### Cite this

**Instanton-induced scalar potential for the universal hypermultiplet.** / Ketov, Sergei V.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 656, no. 1-2, pp. 63-77. https://doi.org/10.1016/S0550-3213(03)00103-2

}

TY - JOUR

T1 - Instanton-induced scalar potential for the universal hypermultiplet

AU - Ketov, Sergei V.

PY - 2003/4/21

Y1 - 2003/4/21

N2 - 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 E3/2, 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.

AB - 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 E3/2, 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.

UR - http://www.scopus.com/inward/record.url?scp=0037459823&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037459823&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(03)00103-2

DO - 10.1016/S0550-3213(03)00103-2

M3 - Article

VL - 656

SP - 63

EP - 77

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -