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Paper   IPM / Physic / 6539
School of Physics
  Title:   Gauging of Lorentz Group WZW Model by Its Null Subgroup
  Author(s):  A.M. Ghezelbash
  Status:   Published
  Journal: Mod. Phys. Lett. A
  No.:  36
  Vol.:  11
  Year:  1996
  Pages:   1765-1775
  Supported by:  IPM
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 as a Liouville field. By gauging a boosted SO(3) subgroup, we find that in the limit of the large boost, the theory can be intrepreted as an interacting Toda theory. We take also the generalized nonstandard bilinear form for SO(3,1) and gauge both SO(3) and E(2) subgroups and discuss the resultant theories.

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