Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-06-13
JHEP 0509 (2005) 065
Physics
High Energy Physics
High Energy Physics - Theory
v3: minor clarifications, JHEP version, 38 pages
Scientific paper
10.1088/1126-6708/2005/09/065
We investigate membrane instanton effects in type IIA strings compactified on rigid Calabi-Yau manifolds. These effects contribute to the low-energy effective action of the universal hypermultiplet. In the absence of additional fivebrane instantons, the quaternionic geometry of this hypermultiplet is determined by solutions of the three-dimensional Toda equation. We construct solutions describing membrane instantons, and find perfect agreement with the string theory prediction. In the context of flux compactifications we discuss how membrane instantons contribute to the scalar potential and the stabilization of moduli. Finally, we demonstrate the existence of meta-stable de Sitter vacua.
Davidse Marijn
Saueressig Frank
Theis Ulrich
Vandoren Stefan
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