Gauging of Lorentz Group WZW Model by its Null Subgroup

Details Gauging of Lorentz Group WZW Model by its Null Subgroup Gauging of Lorentz Group WZW Model by its Null Subgroup

1996-07-10

arxiv.org/abs/hep-th/9607084v1

Mod.Phys.Lett. A11 (1996) 1765-1776

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX file

Scientific paper

We consider the standard vector gauging of Lorentz group $ SO(3,1) $ WZW model by its non-semisimple null Euclidean subgroup in two dimensions $ E(2) $. The resultant effective action of the theory is seen to describe a one dimensional bosonic field in the presence of external charge that we interpret it as a Liouville field. Gauging a boosted $ SO(3) $ subgroup, we find that in the limit of the large boost, the theory can be interpreted as an interacting Toda theory. We also take the generalized non-standard bilinear form for $SO(3,1) $ and gauge both $ SO(3) $ and $E(2)$ subgroups and discuss the resultant theories.

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