TY - JOUR

T1 - Nonlinear Grassmann sigma models in any dimension and an infinite number of conserved currents

AU - Fujii, Kazuyuki

AU - Homma, Yasushi

AU - Suzuki, Tatsuo

N1 - Funding Information:
Kazuyuki Fujii was partially supported by Grant-in-Aid for Scientific Research (C) No. 10640210. KF is very grateful to Prof. Akira Asada for useful suggestions. Yasushi Homma and Tatsuo Suzuki are very grateful to Tosiaki Kori for valuable discussions.

PY - 1998/10/22

Y1 - 1998/10/22

N2 - 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, therefore, 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.

AB - 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, therefore, 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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U2 - 10.1016/S0370-2693(98)00981-2

DO - 10.1016/S0370-2693(98)00981-2

M3 - Article

AN - SCOPUS:0347486169

VL - 438

SP - 290

EP - 294

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -