Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-18
Nucl.Phys. B658 (2003) 303-347
Physics
High Energy Physics
High Energy Physics - Theory
50 pages, LaTeX, 3 figures, 5 tables; v2. typo's fixed, references added, clarified derivation of sigma model equation of moti
Scientific paper
10.1016/S0550-3213(03)00178-0
Dimensional reduction of (super-)gravity theories to 3 dimensions results in sigma models on coset spaces G/H, such as the E_8/SO(16) coset in the bosonic sector of 3 dimensional maximal supergravity. The reverse process, oxidation, is the reconstruction of a higher dimensional gravity theory from a coset sigma model. Using the group G as starting point, the higher dimensional models follow essentially from decomposition into subgroups. All equations of motion and Bianchi identities can be directly reconstructed from the group lattice, Kaluza-Klein modifications and Chern-Simons terms are encoded in the group structure. Manipulations of extended Dynkin diagrams encode matter content, and (string) dualities. The reflection symmetry of the ``magic triangle'' for E_n gravities, and approximate reflection symmetry of the older ``magic triangle'' of supergravities in 4 dimensions, are easily understood in this framework.
No associations
LandOfFree
The group theory of oxidation 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 The group theory of oxidation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The group theory of oxidation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-259017