Article

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

06/1998; DOI:doi:10.1016/S0370-2693(98)00981-2
Source: arXiv

ABSTRACT 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. Comment: 11 pages, AMSLaTex

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### Keywords

\$G/H\$ sigma models

chiral models

Ferreira

full generalization

infinite number

models

nonlinear Grassmann sigma models

nonlinear sigma models

nontrivial conserved currents

submodels

therfore

time-space dimensions