Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-04
Class.Quant.Grav. 20 (2003) S525-S532
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 8 pages, uses IOP style files; Talk given at the RTN workshop ``The quantum structure of spacetime and the geometric na
Scientific paper
10.1088/0264-9381/20/12/319
Dimensional reduction of theories involving (super-)gravity gives rise to sigma models on coset spaces of the form G/H, with G a non-compact group, and H its maximal compact subgroup. The reverse process, called oxidation, is the reconstruction of the possible higher dimensional theories, given the lower dimensional theory. In 3 dimensions, all degrees of freedom can be dualized to scalars. Given the group G for a 3 dimensional sigma model on the coset G/H, we demonstrate an efficient method for recovering the higher dimensional theories, essentially by decomposition into subgroups. The equations of motion, Bianchi identities, Kaluza-Klein modifications and Chern-Simons terms are easily extracted from the root lattice of the group G. We briefly discuss some aspects of oxidation from the E_{8(8)}/SO(16) coset, and demonstrate that our formalism reproduces the Chern-Simons term of 11-d supergravity, knows about the T-duality of IIA and IIB theory, and easily deals with self-dual tensors, like the 5-tensor of IIB supergravity.
No associations
LandOfFree
Oxidation = group theory 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 Oxidation = group theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Oxidation = group theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-264908