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 |
|---|---|
| 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.
In: Nuclear Physics B, Vol. 656, No. 1-2, 21.04.2003, p. 63-77.Research output: Contribution to journal › Article
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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 -