Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-22
Physics
High Energy Physics
High Energy Physics - Theory
Ph.D. Thesis, Universidad de Concepcion, Chile (2006). 188 pages, 19 figures, in Spanish
Scientific paper
This thesis deals with the construction of an eleven-dimensional gauge theory, off-shell invariant, for the M Algebra. The theory is built using a Transgression Form as a Lagrangian. In order to accomplish this, one must first analyze the general construction of Transgression Gauge Field Theories, for an arbitrary symmetry group (Chapter 3). Some interesting results regarding this point are (1) the calculation of Noether Charges which are off-shell conserved, (2) the association of the double connection structure of the Transgression Form with both orientations of the basis manifold and (3) the Subspace Separation Method, which allows us to divide the action in bulk and boundary terms, and to split them in terms which reflect the physics corresponding to a symmetry group choice. To construct the gauge theory explicitly, it is necessary to buid a new mathematical tool, called S-Expansion procedure. Analyzing the M Algebra under the light of this method, it is possible to construct an invariant tensor for it. This method is developed in a general way and, given a Lie algebra and an Abelian, finite semigroup, it allows us to generate new Lie algebras (S-Expanded Algebras, Resonant Subalgebras, Resonant Forced Algebras). Applying this tool, an invariant tensor for the M Algebra is constructed, which serves as the basis upon which a Transgression Gauge Field Theory for the M Algebra (Chapter 5) is constructed. The relationship between the four-dimensional dynamics from this theory and the eleven-dimensional torsion is also considered. Finally, we close with an analysis of the possible applications of the developed tools, in the context of Cosmology, Supergravity and String Theory.
No associations
LandOfFree
Semigroup Expansion and M-Supergravity in Eleven Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Semigroup Expansion and M-Supergravity in Eleven Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semigroup Expansion and M-Supergravity in Eleven Dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-368401