Geodesic
Gauge Theory Solitons on the Noncommutative Cylinder
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 319-337 Cet article a éte moissonné depuis la source Math-Net.Ru

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The solution-generating technique originally suggested for gauge theories on the noncommutative plane is generalized to the noncommutative cylinder. For this, we construct partial isometry operators and a complete set of orthogonal projection operators in the algebra ${\mathcal A}_{\text{\rm C}}$ of the cylinder, and an isomorphism between the free module ${\mathcal A}_{\text{\rm C}}$ and its direct sum ${\mathcal A}_{\text{\rm C}}\oplus{\mathcal F}_{\text{\rm C}}$ with the Fock module on the cylinder. We explicitly construct the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.
Keywords: noncommutative field theory, gauge theory
Mots-clés : solitons. 
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     author = {S. V. Demidov and S. L. Dubovskii and V. A. Rubakov and S. M. Sibiryakov},
     title = {Gauge {Theory} {Solitons} on the {Noncommutative} {Cylinder}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a8/}
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S. V. Demidov; S. L. Dubovskii; V. A. Rubakov; S. M. Sibiryakov. Gauge Theory Solitons on the Noncommutative Cylinder. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 319-337. http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a8/

[1] A. Konechny, A. Schwarz, Phys. Rep., 360 (2002), 353 ; ; ; E-print hep-th/0012145E-print hep-th/0107251 | DOI | MR | Zbl

[2] J. A. Harvey, Komaba lectures on noncommutative solitons and D-branes, E-print hep-th/0102076

[3] M. R. Douglas, N. A. Nekrasov, Rev. Mod. Phys., 73 (2001), 977 ; E-print hep-th/0106048 | DOI | MR | Zbl

[4] I. Y. Aref'eva, D. M. Belov, A. A. Giryavets, A. S. Koshelev, P. B. Medvedev, Noncommutative field theories and (super)string field theories, E-print hep-th/0111208 | MR

[5] N. Seiberg, E. Witten, JHEP, 9909 (1999), 032 ; E-print hep-th/9908142 | DOI | MR

[6] J. A. Harvey, P. Kraus, F. Larsen, E. J. Martinec, JHEP, 0007 (2000), 042 ; E-print hep-th/0005031 | DOI | MR

[7] A. P. Polychronakos, Phys. Lett. B, 495 (2000), 407 ; ; D. Bak, Phys. Lett. B, 495 (2000), 251 ; ; M. Aganagic, R. Gopakumar, S. Minwalla, A. Strominger, JHEP, 0104 (2001), 001 ; E-print hep-th/0007043E-print hep-th/0008204E-print hep-th/0009142 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR

[8] R. Gopakumar, S. Minwalla, A. Strominger, JHEP, 0005 (2000), 020 ; E-print hep-th/0003160 | DOI | MR

[9] J. A. Harvey, P. Kraus, F. Larsen, JHEP, 0012 (2000), 024 ; E-print hep-th/0010060 | DOI | MR

[10] A. Konechny, JHEP, 0203 (2002), 035 ; E-print hep-th/0112189 | DOI | MR

[11] R. Gopakumar, M. Headrick, M. Spradlin, On noncommutative multi-solitons, E-print hep-th/0103256 | MR

[12] M. Chaichian, A. Demichev, P. Presnajder, A. Tureanu, Eur. Phys. J. C, 20 (2001), 767 ; ; M. Chaichian, A. Demichev, P. Presnajder, M. M. Sheikh-Jabbari, A. Tureanu, Nucl. Phys. B, 611 (2001), 383 ; E-print hep-th/0007156E-print hep-th/0101209 | DOI | MR | Zbl | DOI | MR | Zbl

[13] D. Bak, K. M. Lee, Phys. Lett. B, 509 (2001), 168 ; E-print hep-th/0103148 | DOI | MR | Zbl

[14] M. Hamanaka, Phys. Rev. D, 65 (2002), 085022 ; E-print hep-th/0109070 | DOI | MR

[15] D. J. Gross, N. A. Nekrasov, JHEP, 0103 (2001), 044 ; E-print hep-th/0010090 | DOI