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Membrane instantons and de Sitter vacua

Jun, 2005

42 pages

Published in:

JHEP 09 (2005) 065

e-Print:

hep-th/0506097 [hep-th]

DOI:

10.1088/1126-6708/2005/09/065

Report number:

ITP-UU-05-23,
SPIN-05-18,
FSU-TPI-03-05

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Abstract:

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.

string model
instanton
supersymmetry
compactification: Calabi-Yau
compactification: flux
effective action
supergravity
field equations: solution
membrane model
vacuum state: de Sitter

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Figures(0)

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