Nonlinear Grassmann Sigma Models in Any Dimension and An Infinite Number of Conserved Currents

Details Nonlinear Grassmann Sigma Models in Any Dimension and An Infinite Number of Conserved Currents Nonlinear Grassmann Sigma Models in Any Dimension and An Infinite Number of Conserved Currents

1998-06-11

arxiv.org/abs/hep-th/9806084v1

Phys.Lett. B438 (1998) 290-294

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, AMSLaTex

Scientific paper

10.1016/S0370-2693(98)00981-2

We first consider nonlinear Grassmann sigma models in any dimension and next construct their submodels. For these models we construct an infinite number of nontrivial conserved currents. Our result is independent of time-space dimensions and, therfore, is a full generalization of that of authors (Alvarez, Ferreira and Guillen). Our result also suggests that our method may be applied to other nonlinear sigma models such as chiral models, $G/H$ sigma models in any dimension.

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