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String theory compactifications with fluxes, and generalized geometry

Abstract : The topic of this thesis are compactifications in string theory and supergravity. We study dimensional reductions of type II theories on backgrounds with fluxes, using the techniques of Hitchin's generalized geometry.
We start with an introduction of the needed mathematical tools, focusing on SU(3)xSU(3) structures on the generalized tangent bundle T+T*, and analyzing their deformations.
Next we study the four-dimensional N=2 gauged supergravity which can be defined reducing type II theories on SU(3)xSU(3) structure backgrounds with general NSNS and RR fluxes: we establish the complete bosonic action, and we show how its data are related to the generalized geometry formalism on T+T*. In particular, we derive a geometric expression for the full N=2 scalar potential. Then we focus on the relations between the 10d and 4d descriptions of supersymmetric flux backgrounds: we spell out the N=1 vacuum conditions within the 4d N=2 theory, as well as from its N=1 truncation, and we establish a precise matching with the equations characterizing the N=1 backgrounds at the ten dimensional level. We conclude by presenting some concrete examples, based on coset spaces with SU(3) structure. We establish for these spaces the consistency of the truncation based on left-invariance, and we explore the landscape of vacua of the corresponding theory, taking string loop corrections into account.
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Contributor : Davide Cassani <>
Submitted on : Wednesday, August 5, 2009 - 7:49:35 PM
Last modification on : Thursday, December 10, 2020 - 12:38:56 PM
Long-term archiving on: : Monday, October 15, 2012 - 4:05:08 PM


  • HAL Id : tel-00409105, version 1


Davide Cassani. String theory compactifications with fluxes, and generalized geometry. Mathematical Physics [math-ph]. Université Pierre et Marie Curie - Paris VI, 2009. English. ⟨tel-00409105⟩



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