The group theory of oxidation II: Cosets of non-split groups

Details The group theory of oxidation II: Cosets of non-split groups The group theory of oxidation II: Cosets of non-split groups

2002-12-03

arxiv.org/abs/hep-th/0212024v2

Nucl.Phys. B658 (2003) 348-372

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LaTeX, 11 figures; v2. minor corrections, references added

Scientific paper

10.1016/S0550-3213(03)00179-2

The oxidation program of hep-th/0210178 is extended to cover oxidation of 3-d sigma model theories on a coset G/H, with G non-compact (but not necessarily split), and H the maximal compact subgroup. We recover the matter content, the equations of motion and Bianchi identities from group lattice and Cartan involution. Satake diagrams provide an elegant tool for the computations, the maximal oxidation dimension, and group disintegration chains can be directly read off. We give a complete list of theories that can be recovered from oxidation of a 3 dimensional coset sigma model on G/H, where G is a simple non-compact group.

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