Gauging the nonlinear sigma-model through a non-Abelian algebra

Details Gauging the nonlinear sigma-model through a non-Abelian algebra Gauging the nonlinear sigma-model through a non-Abelian algebra

1997-05-21

arxiv.org/abs/hep-th/9705157v1

Phys.Rev. D56 (1997) 2257-2264

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Latex, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.56.2257

We use an extension of the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) for transforming the nonlinear $\sigma$ model in a non-Abelian gauge theory. We deal with both supersymmetric and nonsupersymmetric cases. The bosonic case was already considered in literature but just gauged with an Abelian algebra. We show that the supersymmetric version is only compatible with a non-Abelian gauge theory. The usual BFFT method for this case leads to a nonlocal algebra.

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