Geodesic
Current algebras in~the theory of~the classical $\mathcal D=2+1$ string with internal degrees of~freedom
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 41-48

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The Hamiltonian formalism is constructed for the infinite classical $\mathcal D=2+1$ string with the distributed Majorana spinor field whose components are real numbers. It is shown that the Poisson structure of the model is determined by two central extensions of current algebras which are in the involution. 
@article{TMF_1989_79_1_a3,
     author = {S. V. Talalov},
     title = {Current algebras in~the theory of~the classical $\mathcal D=2+1$ string with internal degrees of~freedom},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {41--48},
     publisher = {mathdoc},
     volume = {79},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a3/}
}
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S. V. Talalov. Current algebras in~the theory of~the classical $\mathcal D=2+1$ string with internal degrees of~freedom. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 41-48. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a3/