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Membrane Instantons and de Sitter Vacua

Marijn Davidse1, Frank Saueressig1, Ulrich Theis2 and Stefan Vandoren3

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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.

Keywords

p-branes

Nonperturbative Effects

Superstring Vacua

Supergravity Models

 

E-print Number: hep-th/0506097

Cited: by |

Refers: to

PACS

11.25.Mj Compactification and four-dimensional models

11.25.Sq Nonperturbative techniques; string field theory

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

04.65.+e Supergravity

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 09 (September 2005)

Received 1 July 2005, accepted for publication 12 September 2005

Published 27 September 2005



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