String theory flux vacua on twisted tori and Generalized Complex Geometry

Abstract : This thesis is devoted to the study of flux vacua of string theory, with the ten-dimensional space-time split into a four-dimensional maximally symmetric space-time, and a six-dimensional internal manifold M, taken to be a solvmanifold (twisted torus). Such vacua are of particular interest when trying to relate string theory to supersymmetric (SUSY) extensions of the standard model of particles, or to cosmological models. For SUSY solutions of type II supergravities, allowing for fluxes on M helps to solve the moduli problem. Then, a broader class of manifolds than just the Calabi-Yau can be considered for M, and a general characterization is given in terms of Generalized Complex Geometry: M has to be a Generalized Calabi-Yau (GCY). A subclass of solvmanifolds have been proven to be GCY, so we look for solutions with such M. To do so, we use an algorithmic resolution method. Then we focus on specific new solutions: those admitting an intermediate SU(2) structure. A transformation named the twist is then discussed. It relates solutions on torus to solutions on solvmanifolds. Working out constraints on the twist to generate solutions, we can relate known solutions, and find a new one. We also use the twist to relate flux vacua of heterotic string. Finally we consider ten-dimensional de Sitter solutions. Looking for such solutions is difficult, because of several problems among which the breaking of SUSY. We propose an ansatz for SUSY breaking sources which helps to overcome these difficulties. We give an explicit solution on a solvmanifold, and discuss partially its four-dimensional stability.
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Contributor : David Andriot <>
Submitted on : Friday, July 2, 2010 - 3:51:49 PM
Last modification on : Wednesday, May 15, 2019 - 3:42:01 AM
Long-term archiving on : Monday, October 4, 2010 - 11:41:17 AM

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  • HAL Id : tel-00497172, version 1

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David Andriot. String theory flux vacua on twisted tori and Generalized Complex Geometry. Physics [physics]. Université Pierre et Marie Curie - Paris VI, 2010. English. ⟨tel-00497172⟩

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