Geodesic
Current structure of phenomenological Lagrangians
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 3, pp. 321-329

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It is shown that phenomenological Lagrangians that are invariant with respect to a group $G$ are representable as products of currents when they are realized on homogeneous (with respect to transformations of $G$) irreducible symmetric spaces $G/H$. In the case of general homogeneous spaces the requirement that a phenomenological Lagrangian be representable as a product of currents can be satisfied only if the phenomenological constants are chosen in a definite manner. In certain cases this corresponds to an enlargement of the symmetry group of the original Lagrangian. 
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     author = {D. V. Volkov and V. D. Gershun and V. I. Tkach},
     title = {Current structure of phenomenological {Lagrangians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_3_a0/}
}
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D. V. Volkov; V. D. Gershun; V. I. Tkach. Current structure of phenomenological Lagrangians. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 3, pp. 321-329. http://geodesic.mathdoc.fr/item/TMF_1970_5_3_a0/