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-instantoncorrected universal hypermultiplet moduli space metric having an U(1) × U(1) isometry, with one of the isometries being gauged.

Original language	English
Pages (from-to)	63-77
Number of pages	15
Journal	Nuclear Physics B
Volume	656
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(03)00103-2
Publication status	Published - 21 Apr 2003

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(03)00103-2

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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.",

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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.

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