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 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.
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 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics