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Rôle(s) du champ de fond antisymétrique en théorie des cordes.

Abstract : The guideline of this thesis has been to understand the role of the antisymmetric background B-field in string theory. As a natural companion of the curvature g, it is indeed one of the most promising leads in many of recent developments, to which I hope this work will honourably contribute. The first chapter is dedicated to the study of the Seiberg-Witten map, by which ordinary branes in a non trivial B-field are linked to non commutative branes. Searching an explicit expression of it in the gauge sector leads to a better understanding of its meaning. Beyond describing the couplings of D-branes to non trivial background fields, this would allow a new insight on their non abelian dynamics, through Morita equivalence. This non abelian dynamics is also the aim of chapter 2, this time in the context of M-theory. There I try to describe the field content of non-abelian M5 branes, by different methods including supersymmetry and non-abelian 2-forms. Some geometrical aspects may also help to reproduce the expected N^3 anomaly. Finally SU(3)-manifolds are relevant for compactification when a non trivial B-field is turned on. Mirror symmetry, defined on less general Calabi-Yau manifolds, can then be extended as T-duality on T^3-fibered SU(3)-manifolds, in the spirit of the Strominger-Yau-Zaslow conjecture. Its geometrical description involve mixings of the components of the intrinsic torsion with those of the curvature H=dB, as detailed in chapter 3.
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Submitted on : Wednesday, July 21, 2010 - 9:03:17 AM
Last modification on : Wednesday, March 27, 2019 - 4:02:05 PM
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  • HAL Id : pastel-00000709, version 1



Stéphane Fidanza. Rôle(s) du champ de fond antisymétrique en théorie des cordes.. Physique [physics]. Ecole Polytechnique X, 2003. Français. ⟨pastel-00000709⟩



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