In this thesis, we explain and illustrate on several examples how to derive supergravity solutions by computing observables in the corresponding dual, lower-dimensional field theory.<p>In particular, no a priori knowledge on the gravitational dual is assumed, including its dimensionality. The basic idea to construct the pre-geometric models is to consider the world-volume theory of probe D-branes in the presence of a large number N of higher-dimensional background branes. In the standard decoupling limit, the probes are moving only in the flat directions parallel to the background D-branes. We show however that the quantum effective action of the probe world-volume theory, obtained at large $N$ using standard vector model techniques, has the required field content to be interpreted as the action describing the probes in a higher-dimensional, curved and classical spacetime. The properties of the emerging supergravity solution are easily found by comparing the quantum effective action of the pre-geometric model with the non-abelian D-brane action. In all the examples we consider, this allows us to derive the metric, the dilaton and various form fields, overall performing exclusively field theoretic computations.<p><p>The first part of the thesis consists of introductory chapters, where we review vector models at large N, aspects of brane physics in supergravity and string theory and the gauge/gravity correspondence. The second part contains the original contributions of this thesis, consisting of various explicit emergent geometry examples.<p> / Doctorat en Sciences / info:eu-repo/semantics/nonPublished
| Identifer | oai:union.ndltd.org:ulb.ac.be/oai:dipot.ulb.ac.be:2013/209425 |
| Date | 11 September 2013 |
| Creators | Rovai, Antonin |
| Contributors | Ferrari, Frank, Henneaux, Marc, Craps, Ben, Núñez, Carlos C., Petrini, Michela, Collinucci, Andrés |
| Publisher | Universite Libre de Bruxelles, Université libre de Bruxelles, Faculté des Sciences – Physique, Bruxelles |
| Source Sets | Université libre de Bruxelles |
| Language | French |
| Detected Language | English |
| Type | info:eu-repo/semantics/doctoralThesis, info:ulb-repo/semantics/doctoralThesis, info:ulb-repo/semantics/openurl/vlink-dissertation |
| Format | 1 v. (126 p.), 2 full-text file(s): application/pdf | application/pdf |
| Rights | 2 full-text file(s): info:eu-repo/semantics/openAccess | info:eu-repo/semantics/openAccess |
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