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Au bout de la corde... la theorie M

Abstract : This PhD dissertation contains an account of my works on the non-perturbative

structure of the superstring theory. Firstly, I introduce the solitonic

p-brane solutions of the supergravity theories. These solutions represented

by extended objects of dimension p are generalization of the 't

Hooft-Polyakov instantonic solutions to theories with gravitation. Then, the

NS1-brane, the solution charged under the Neveu-Schwarz 2-form, corresponding

to the superstring is considered as a fundamental object. The connection

between these solutions and the non-perturbatives solutions of Dp-branes is

exposed. Static and dynamical configurations of D-branes are analyzed in order

to understand the structure of the non-perturbative string theory. These

results are then applied to study of the non-perturbative correspond between

the type~I and SO(32) heterotic string theory, and the self-duality under the

Sl(2,Z) group of the type~IIb string. Are deduced precise rules for the

instantonic computations are deduce, and a regularization of the ultraviolet

divergences of the four gravitons one-loop amplitude computed in the framework of the

eleven dimensional supergravity. Which confirms its rôle in the framework of M-theory. A direct computation space-time instantonic

contributions for these superstrings theories is done in the new framework of

the matrix string theory.
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Contributor : Vanhove Pierre Connect in order to contact the contributor
Submitted on : Thursday, March 7, 2002 - 4:54:57 PM
Last modification on : Wednesday, March 27, 2019 - 4:02:05 PM
Long-term archiving on: : Friday, April 2, 2010 - 7:52:34 PM


  • HAL Id : tel-00001196, version 1



P. Vanhove. Au bout de la corde... la theorie M. Physique mathématique [math-ph]. Ecole Polytechnique X, 1998. Français. ⟨tel-00001196⟩



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