Instanton-induced scalar potential for the universal hypermultiplet

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-instanton-corrected universal hypermultilet moduli space metric having an U(1)xU(1) isometry, with one of the isometries being gauged.

19 pages, LaTeX, extra paragraph added to the conclusion

References in corpus (3)

• Instantons in the Double-Tensor Multiplet
• Summing up D-instantons in N=2 supergravity
• Domain walls of N=2 supergravity in five dimensions from hypermultiplet moduli spaces

Cited by in corpus (4)

• Hypermultiplet metric and D-instantons
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• Toric hyperkahler manifolds with quaternionic Kahler bases and supergravity solutions
• Calabi-Yau compactification of type II string theories