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

TL;DR

This paper extends the group-theoretic oxidation framework to non-split non-compact coset models, enabling systematic derivation of matter content and equations of motion from group structures.

Contribution

It introduces a method using Satake diagrams to analyze oxidation of 3D sigma models on non-split cosets, providing a complete classification of recoverable theories.

Findings

Group lattice and Cartan involution recover matter content and equations.

Satake diagrams streamline computations of oxidation properties.

Complete list of theories from non-split coset oxidation.

Abstract

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.