# Théorie M et dualités

Abstract : In their search for a unified theory of fundamental interactions, with quantum gravity, physicists introduced superstring theories. In addition to the fundamental strings, they contain extended objects of diverse dimensions, exchanged by U-duality groups. There is also a conjectured mother theory, called M-theory'', which would give eleven-dimensional supergravity in the low energy limit. In this work, we show that one can construct from del Pezzo surfaces generalized Kac-Moody superalgebras which extend U-duality groups. These superalgebras give the bosonic fields content of M-theory dimensional reductions. We recover the fields equations of motion as a self-duality condition, related to a symmetry of the Picard lattice of the corresponding del Pezzo surface. This allows to explain the symmetry of the magic triangle'' of Cremmer, Julia, Lü and Pope.
Keywords :
Document type :
Theses

https://tel.archives-ouvertes.fr/tel-00005254
Contributor : Louis Paulot <>
Submitted on : Monday, March 8, 2004 - 5:35:52 PM
Last modification on : Thursday, December 10, 2020 - 12:37:20 PM
Long-term archiving on: : Wednesday, September 12, 2012 - 2:00:09 PM

### Identifiers

• HAL Id : tel-00005254, version 1

### Citation

Louis Paulot. Théorie M et dualités. Physique mathématique [math-ph]. Université Pierre et Marie Curie - Paris VI, 2003. Français. ⟨tel-00005254⟩

Record views