Geodesic
$\sigma$ Model representation of supersymmetric gauge theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 14-25 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Gauge theory in ordinary superspace is formulated in the language of the bilocal nonlinear model. The basic entity is the principal chiral superfield $b(z,u)$ with values in the algebra of the group of internal symmetry. After the imposition of covariant conditions to eliminate the unimportant goldstonions there is obtained for $b(z,u)$, as in the case of the Minkowski and de Sitter spaces, a “'string” representation in the form of a $P$-exponential of a contour integral of the Yang–Mills superfield $b_A(z)\equiv D_A^ub(z,0)$ along the geodesic in superspace between the points $z+u$ and $z$. 
@article{TMF_1983_55_1_a1,
     author = {V. P. Akulov and V. G. Zima},
     title = {$\sigma${~Model} representation of supersymmetric gauge theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {14--25},
     year = {1983},
     volume = {55},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a1/}
}
TY  - JOUR
AU  - V. P. Akulov
AU  - V. G. Zima
TI  - $\sigma$ Model representation of supersymmetric gauge theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 14
EP  - 25
VL  - 55
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a1/
LA  - ru
ID  - TMF_1983_55_1_a1
ER  - 
%0 Journal Article
%A V. P. Akulov
%A V. G. Zima
%T $\sigma$ Model representation of supersymmetric gauge theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 14-25
%V 55
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a1/
%G ru
%F TMF_1983_55_1_a1
V. P. Akulov; V. G. Zima. $\sigma$ Model representation of supersymmetric gauge theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 14-25. http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a1/

[1] Ogievetskii V. I., Mezinchesku L., UFN, 117:4 (1975), 637–683 | DOI | MR

[2] Van Nienwenhuizen P., Phys. Rep., 68 (1981), 189–398 | DOI | MR

[3] Wess J., Zumino B., Nucl. Phys., B78:1 (1974), 1–13 | DOI

[4] Ferrara S., Zumino B., Nucl. Phys., B79:2 (1974), 413–421 | MR

[5] Salam A., Strathdee J., Phys. Lett., 51B:3 (1974), 353–355 ; Phys. Rev., D11:4 (1975), 1521–1535 | DOI | MR | MR

[6] Ivanov E. F., Ogievetskii V. I., Pisma v ZhETF, 23:11 (1976), 661–664

[7] Ivanov E. A., Ogievetskii V. I., TMF, 25:2 (1975), 164–177 | MR

[8] Ivanov E. A., Pisma v ZhETF, 30:7 (1979), 452–456; Ivanov E. A., Yang-Mills Theory in Sigma-Model Representation, Preprint E2-12808, JINR, Dubna, 1979; Sigma-Model Representation of Gauge Theories, Preprint E2-80-315, JINR, Dubna, 1980

[9] Polyakov A. M., Phys. Lett., 82B:2 (1979), 247–250 ; Арефьева И. Я., Алушта, апрель 1979; Aref'eva I. Ya., Lett. Math. Phys., 3:2 (1979), 240–247 ; Witten E., Phys. Lett., 77B:3 (1978), 394–398 ; Isenberg J., Yasskin P. B., Green P., Phys. Lett., 78B:4 (1978), 462–464 | DOI | MR | DOI | DOI

[10] Wilson K. G., Phys. Rev., D10:6 (1974), 2445–2459; Polyakov A. M., Nucl. Phys., B120:9 (1977), 429–458 | DOI | MR

[11] Makeenko Yu. M., Medvedev P. B., YaF, 34:1 (1981), 270–276

[12] Ogievetskii V. I., Sokachev E. S., Pisma v ZhETF, 23:1 (1976), 66–69

[13] Ivanov E. A., Krivonos S. O., Sigma-Model Formulation of Yang-Mills Theory on Four-Dimensional Hypersphere: Geodesics as Paths, Preprint E2-81-824, JINR, Dubna, 1981 | MR

[14] Salam A., Strathdee J., Nucl. Phys., B76:2 (1974), 477–482 | DOI | MR

[15] Ogievetskii V. I., Sokachev E. S., YaF, 31:3 (1980), 821–840 | MR

[16] Volkov D. V., Fenomenologicheskii lagranzhian vzaimodeistviya goldstounovskikh chastits, Preprint ITF-69-75, ITF, Kiev, 1969; ЭЧАЯ, 4:1 (1973), 3–41 | MR

[17] Coleman S., Wess J., Zumino B., Phys. Rev., 177:5 (1969), 2239–2247 | DOI

[18] Callan C. L., Coleman S., Wess J., Zumino B., Phys. Rev., 177:5 (1969), 2247–2250 | DOI

[19] Sohnius M. F., Nucl. Phys., B136:3 (1978), 461–474 | DOI | MR

[20] Wess J., Zumino B., Phys. Lett., 79B:4, 5 (1978), 394–398 | DOI | MR