Geodesic
Algebraic integration of sigma-model field equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 266-282 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We prove that the dualization algebra of the sigma model with a symmetric coset space is a Lie algebra and show that it generates an appropriate adjoint representation that allows integrating the field equations locally, which yields first-order equations.
Keywords: sigma model, first-order formulation, dualization algebra. 
@article{TMF_2009_159_2_a6,
     author = {N. T. Yilmaz},
     title = {Algebraic integration of sigma-model field equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {266--282},
     year = {2009},
     volume = {159},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a6/}
}
TY  - JOUR
AU  - N. T. Yilmaz
TI  - Algebraic integration of sigma-model field equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2009
SP  - 266
EP  - 282
VL  - 159
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a6/
LA  - ru
ID  - TMF_2009_159_2_a6
ER  - 
%0 Journal Article
%A N. T. Yilmaz
%T Algebraic integration of sigma-model field equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2009
%P 266-282
%V 159
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a6/
%G ru
%F TMF_2009_159_2_a6
N. T. Yilmaz. Algebraic integration of sigma-model field equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 266-282. http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a6/

[1] E. Cremmer, B. Julia, H. Lü, C. N. Pope, Nucl. Phys. B, 523:1–2 (1998), 73–144 ; arXiv: hep-th/9710119 | DOI | MR | Zbl

[2] E. Cremmer, B. Julia, H. Lü, C. N. Pope, Nucl. Phys. B, 535:1–2 (1998), 242–292 ; arXiv: hep-th/9806106 | DOI | MR | Zbl

[3] N. T. Y{\i}lmaz, Nucl. Phys. B, 664:1–2 (2003), 357–370 ; arXiv: hep-th/0301236 | DOI | MR | Zbl

[4] N. T. Y{\i}lmaz, Nucl. Phys. B, 675:1–2 (2003), 122–138 ; arXiv: hep-th/0407006 | DOI | MR | Zbl

[5] A. Keurentjes, Nucl. Phys. B, 658:3 (2003), 303–347 ; arXiv: hep-th/0210178 | DOI | MR | Zbl

[6] A. Keurentjes, Nucl. Phys. B, 658:3 (2003), 348–372 ; arXiv: hep-th/0212024 | DOI | MR | Zbl | MR