Electric-Magnetic Duality and WDVV Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 230-238
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the associativity (or WDVV) equations as they appear in the Seiberg–Witten theory and prove that they are covariant under general electric-magnetic duality transformations. We discuss the consequences of this covariance from various perspectives.
@article{TMF_2001_129_2_a5,
     author = {B. de Wit and A. V. Marshakov},
     title = {Electric-Magnetic {Duality} and {WDVV} {Equations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {230--238},
     year = {2001},
     volume = {129},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a5/}
}
TY  - JOUR
AU  - B. de Wit
AU  - A. V. Marshakov
TI  - Electric-Magnetic Duality and WDVV Equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2001
SP  - 230
EP  - 238
VL  - 129
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a5/
LA  - ru
ID  - TMF_2001_129_2_a5
ER  - 
%0 Journal Article
%A B. de Wit
%A A. V. Marshakov
%T Electric-Magnetic Duality and WDVV Equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2001
%P 230-238
%V 129
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a5/
%G ru
%F TMF_2001_129_2_a5
B. de Wit; A. V. Marshakov. Electric-Magnetic Duality and WDVV Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 230-238. http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a5/

[1] N. Seiberg, E. Witten, Nucl. Phys. B, 426 (1994), 19 ; ; Nucl. Phys. B, 431 (1994), 484 ; E-print hep-th/9407087E-print hep-th/9408099 | DOI | MR | Zbl | DOI | MR | Zbl

[2] B. de Wit, “Electric-magnetic Dualities in Supergravity”, Proc. Thirty Years of Supersymmetry (October 2000), Nucl. Phys. Proc. Suppl. (to appear) | MR

[3] A. Gorsky, I. Krichever, A. Marshakov, A. Mironov, A. Morozov, Phys. Lett. B, 355 (1995), 466 ; E-print hep-th/9505035 | DOI | MR | Zbl

[4] I. Krichiver, Commun. Pure Appl. Math., 47 (1994), 437 ; E-print hep-th/9205110 | DOI | MR

[5] A. Marshakov, Seiberg–Witten Theory and Integrable Systems, World Scientific, Singapore, 1999 | MR | Zbl

[6] E. Witten, Nucl. Phys. B, 340 (1990), 281 ; R. Dijkgraaf, H. Verlinde, E. Verlinde, Nucl. Phys. B, 352 (1991), 59 | DOI | MR | DOI | MR

[7] A. Marshakov, A. Mironov, A. Morozov, Phys. Lett. B, 389 (1996), 43 ; E-print hep-th/9607109 | DOI | MR

[8] A. Klemm, W. Lerche, S. Theisen, S. Yankielowicz, Phys. Lett. B, 344 (1995), 169 ; ; ; P. Argyres, A. Faraggi, Phys. Rev. Lett., 73 (1995), 3931 ; E-print hep-th/9411048E-print hep-th/9412158E-print hep-th/9411057 | DOI | MR | DOI | MR

[9] A. Marshakov, A. Mironov, A. Morozov, Int. J. Mod. Phys. A, 15 (2000), 1157 ; E-print hep-th/9701123 | DOI | MR | Zbl

[10] A. Marshakov, Associativity equations in effective SUSY quantum field theories, E-print hep-th/0108023

[11] L. K. Hoevenaars, P. H. M. Kerstenn, R. Martini, Phys. Lett. B, 503 (2001), 189 ; E-print hep-th/0012133 | DOI | MR | Zbl

[12] B. de Wit, B. Kleijn, S. Vandoren, Fortschr. Phys., 47 (1999), 317 ; E-print hep-th/9801039 | 3.0.CO;2-O class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR

[13] Y. Ohta, J. Math. Phys., 41 (2000), 6042 ; E-print hep-th/9905126 | DOI | MR | Zbl

[14] B. Dubrovin, “Geometry of 2D topological field theories”, Integrable Systems and Quantum Groups (Montecatini Terme, 1993), Lect. Notes Math., 1620, eds. M. Francaviglia et al., Springer, Berlin, 1996, 120 ; E-print hep-th/9407018 | DOI | MR | Zbl

[15] B. de Wit, A. Van Proeyen, Nucl. Phys. B, 245 (1984), 89 ; S. Cecotti, S. Ferrara, L. Girardello, Int. J. Mod. Phys. A, 4 (1989), 2457 | DOI | MR | DOI | MR

[16] B. de Wit, F. Vanderesypen, A. Van Proeyen, Nucl. Phys. B, 400 (1993), 463 ; E-print hep-th/9210068 | DOI | MR | Zbl

[17] G. Bonelli, M. Matone, Phys. Rev. Lett., 77 (1996), 4712 ; E-print hep-th/9605090 | DOI | MR

[18] A. Mironov, A. Morozov, Phys. Lett. B, 424 (1998), 48 ; E-print hep-th/9712177 | DOI | MR