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Volumn 8, Issue 8, 2004, Pages 1463-1482

Chern-Simons solitons, chiral model, and (affine) Toda model on noncommutative space

Author keywords

Chern Simons Theories; Field Theories in Lower Dimensions; Integrable Equations in Physics; Non Commutative Geometry

Indexed keywords


EID: 23044437963     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/08/054     Document Type: Article
Times cited : (8)

References (48)
  • 1
    • 0035486599 scopus 로고    scopus 로고
    • Noncommutative field theory
    • [hep-th/0106048]
    • M.R. Douglas and N.A. Nekrasov, Noncommutative field theory, Rev. Mod. Phys. 73 (2001) 977 [hep-th/0106048].
    • (2001) Rev. Mod. Phys. , vol.73 , pp. 977
    • Douglas, M.R.1    Nekrasov, N.A.2
  • 3
    • 0037402478 scopus 로고    scopus 로고
    • Quantum field theory on noncommutative spaces
    • [hep-th/0109162]
    • R. J. Szabo, Quantum field theory on noncommutative spaces, Phys. Rept. 378 (2003) 207 [hep-th/0109162].
    • (2003) Phys. Rept. , vol.378 , pp. 207
    • Szabo, R.J.1
  • 5
    • 0001539532 scopus 로고    scopus 로고
    • 44 and (2,0) superconformal six dimensional theory
    • [hep-th/9802068]
    • 44 and (2,0) superconformal six dimensional theory, Commun. Math. Phys. 198 (1998) 689 [hep-th/9802068].
    • (1998) Commun. Math. Phys. , vol.198 , pp. 689
    • Nekrasov, N.1    Schwarz, A.2
  • 6
    • 0001336936 scopus 로고
    • Selfdual Chern-Simons solitons and two-dimensional nonlinear equations
    • G.V. Dunne, R. Jackiw, S.-Y. Pi and C.A. Trugenberger, Selfdual Chern-Simons solitons and two-dimensional nonlinear equations, Phys. Rev. D 43 (1991) 1332.
    • (1991) Phys. Rev. D , vol.43 , pp. 1332
    • Dunne, G.V.1    Jackiw, R.2    Pi, S.-Y.3    Trugenberger, C.A.4
  • 7
    • 0039159272 scopus 로고
    • Chern-Simons solitons, toda theories and the chiral model
    • [hep-th/9204056]
    • G.V. Dunne, Chern-Simons solitons, toda theories and the chiral model, Commun. Math. Phys. 150 (1992) 519 [hep-th/9204056].
    • (1992) Commun. Math. Phys. , vol.150 , pp. 519
    • Dunne, G.V.1
  • 8
    • 84972545531 scopus 로고
    • Harmonic maps into Lie groups (classical solutions of the Chiral model)
    • K. Uhlenbeck, Harmonic maps into Lie groups (classical solutions of the Chiral model), J. Diff. Geom. 30 (1989) 1.
    • (1989) J. Diff. Geom. , vol.30 , pp. 1
    • Uhlenbeck, K.1
  • 9
    • 33745755732 scopus 로고
    • Explicit construction and parameterization of harmonic two sphers in the unitary group
    • J.C. Wood, Explicit construction and parameterization of harmonic two sphers in the unitary group, Proc. London Math. Soc. 58 (1989) 608.
    • (1989) Proc. London Math. Soc. , vol.58 , pp. 608
    • Wood, J.C.1
  • 10
    • 0003262697 scopus 로고
    • Selfdual Chern-Simons theories
    • G.V. Dunne, Selfdual Chern-Simons theories, Lect. Notes Phys. M36 (1995) 1;
    • (1995) Lect. Notes Phys. , vol.M36 , pp. 1
    • Dunne, G.V.1
  • 11
    • 0000014945 scopus 로고    scopus 로고
    • Relativistic self-dual Chern-Simons systems: A perspective
    • [hep-th/9609137]
    • K.-M. Lee, Relativistic self-dual Chern-Simons systems: a perspective, Int. J. Mod. Phys. A 12 (1997) 1003 [hep-th/9609137].
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 1003
    • Lee, K.-M.1
  • 13
    • 0007470205 scopus 로고
    • Multidimensional integrable systems
    • Multidimensional integrable systems, Lect. Notes. Phys. 280 (1986) 106;
    • (1986) Lect. Notes. Phys. , vol.280 , pp. 106
  • 14
    • 0000255752 scopus 로고
    • Integrable systems in twistor theory
    • Cambridge
    • Integrable systems in twistor theory, in Twistes in mathematics and physics, Cambridge 1990.
    • (1990) Twistes in Mathematics and Physics
  • 17
    • 33744549599 scopus 로고    scopus 로고
    • Noncommutative multisolitons: Moduli spaces, quantization, finite theta effects and stability
    • [hep-th/0104017]
    • L. Hadasz, U. Lindströpm, M. Roček and R. von Unge, Noncommutative multisolitons: moduli spaces, quantization, finite theta effects and stability, J. High Energy Phys. 06 (2001) 040 [hep-th/0104017].
    • (2001) J. High Energy Phys. , vol.6 , pp. 040
    • Hadasz, L.1    Lindströpm, U.2    Roček, M.3    Von Unge, R.4
  • 18
    • 33744544031 scopus 로고    scopus 로고
    • Noncommutative solitons in open N = 2 string theory
    • [hep-th/0103196]
    • O. Lechtenfeld, A.D. Popov and B. Spendig, Noncommutative solitons in open N = 2 string theory, J. High Energy Phys. 06 (2001) 011 [hep-th/0103196];
    • (2001) J. High Energy Phys. , vol.6 , pp. 011
    • Lechtenfeld, O.1    Popov, A.D.2    Spendig, B.3
  • 19
    • 33744768072 scopus 로고    scopus 로고
    • Noncommutative multi-solitons in 2+1 dimensions
    • [hep-th/0106213]
    • O. Lechtenfeld and A.D. Popov, Noncommutative multi-solitons in 2+1 dimensions, J. High Energy Phys. 11 (2001) 040 [hep-th/0106213];
    • (2001) J. High Energy Phys. , vol.11 , pp. 040
    • Lechtenfeld, O.1    Popov, A.D.2
  • 20
    • 0001133114 scopus 로고    scopus 로고
    • Scattering of noncommutative solitons in 2+1 dimensions
    • [hep-th/0108118]
    • Scattering of noncommutative solitons in 2+1 dimensions, Phys. Lett. B 523 (2001) 178 [hep-th/0108118].
    • (2001) Phys. Lett. B , vol.523 , pp. 178
  • 21
    • 0035945580 scopus 로고    scopus 로고
    • The CP(n) model on noncommutative plane
    • [hep-th/0007140]
    • B.-H. Lee, K.-M. Lee and H.S. Yang, The CP(n) model on noncommutative plane, Phys. Lett. B 498 (2001) 277 [hep-th/0007140].
    • (2001) Phys. Lett. B , vol.498 , pp. 277
    • Lee, B.-H.1    Lee, K.-M.2    Yang, H.S.3
  • 22
    • 0011844495 scopus 로고    scopus 로고
    • Low-energy dynamics of noncommutative CP(1) solitons in 2 + 1 dimensions
    • [hep-th/0203125]
    • K. Furuta, T. Inami, H. Nakajima and M. Yamamoto, Low-energy dynamics of noncommutative CP(1) solitons in 2 + 1 dimensions, Phys. Lett. B 537 (2002) 165 [hep-th/0203125].
    • (2002) Phys. Lett. B , vol.537 , pp. 165
    • Furuta, K.1    Inami, T.2    Nakajima, H.3    Yamamoto, M.4
  • 23
    • 23144443014 scopus 로고    scopus 로고
    • New BPS solitons in 2+1 dimensional noncommutative CP(1) model
    • [hep-th/0303090]
    • H. Otsu, T. Sato, H. Ikemori and S. Kitakado, New BPS solitons in 2+1 dimensional noncommutative CP(1) model, J. High Energy Phys. 07 (2003) 054 [hep-th/0303090];
    • (2003) J. High Energy Phys. , vol.7 , pp. 054
    • Otsu, H.1    Sato, T.2    Ikemori, H.3    Kitakado, S.4
  • 24
    • 33646020438 scopus 로고    scopus 로고
    • Lost equivalence of nonlinear sigma and CP(1) models on noncommutative space
    • [hep-th/0404140]
    • Lost equivalence of nonlinear sigma and CP(1) models on noncommutative space, J. High Energy Phys. 06 (2004) 006 [hep-th/0404140].
    • (2004) J. High Energy Phys. , vol.6 , pp. 006
  • 25
  • 26
    • 0035898555 scopus 로고    scopus 로고
    • Chern-Simons theories on noncommutative plane
    • [hep-th/0102188]
    • D. Bak, K.-M. Lee and J.-H. Park, Chern-Simons theories on noncommutative plane, Phys. Rev. Lett. 87 (2001) 030402 [hep-th/0102188].
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 030402
    • Bak, D.1    Lee, K.-M.2    Park, J.-H.3
  • 27
    • 0035898695 scopus 로고    scopus 로고
    • On level quantization for the noncommutative Chern-Simons theory
    • [hep-th/0102181]
    • V.P. Nair and A.P. Polychronakos, On level quantization for the noncommutative Chern-Simons theory, Phys. Rev. Lett. 87 (2001) 030403 [hep-th/0102181].
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 030403
    • Nair, V.P.1    Polychronakos, A.P.2
  • 28
    • 0034692276 scopus 로고    scopus 로고
    • Bicomplexes, integrable models and noncommutative geometry
    • [hep-th/0006005]
    • A. Dimakis and F. Mueller-Hoissen, Bicomplexes, integrable models and noncommutative geometry, Int. J. Mod. Phys. B 14 (2000) 2455 [hep-th/0006005];
    • (2000) Int. J. Mod. Phys. B , vol.14 , pp. 2455
    • Dimakis, A.1    Mueller-Hoissen, F.2
  • 29
    • 0142200800 scopus 로고    scopus 로고
    • Noncommutative integrable field theories in 2d
    • [hep-th/0211193]
    • I. Cabrera-Carnero and M. Moriconi, Noncommutative integrable field theories in 2d, Nucl. Phys. B 673 (2003) 437 [hep-th/0211193];
    • (2003) Nucl. Phys. B , vol.673 , pp. 437
    • Cabrera-Carnero, I.1    Moriconi, M.2
  • 31
    • 17544386162 scopus 로고    scopus 로고
    • Towards noncommutative integrable systems
    • [hep-th/0211148]
    • M. Hamanaka and K. Toda, Towards noncommutative integrable systems, Phys. Lett. A 316 (2003) 77 [hep-th/0211148];
    • (2003) Phys. Lett. A , vol.316 , pp. 77
    • Hamanaka, M.1    Toda, K.2
  • 32
    • 0346895558 scopus 로고    scopus 로고
    • Noncommutative burgers equation
    • [hep-th/0301213]
    • Noncommutative burgers equation, J. Phys. A 36 (2003) 11981-11998 [hep-th/0301213];
    • (2003) J. Phys. A , vol.36 , pp. 11981-11998
  • 35
    • 22144452692 scopus 로고    scopus 로고
    • Some properties of the integrable noncommutative Sine-Gordon system
    • [hep-th/0310214]
    • M.T. Grisaru, L. Mazzanti, S. Penati and L. Tamassia, Some properties of the integrable noncommutative Sine-Gordon system, J. High Energy Phys. 04 (2004) 057 [hep-th/0310214];
    • (2004) J. High Energy Phys. , vol.4 , pp. 057
    • Grisaru, M.T.1    Mazzanti, L.2    Penati, S.3    Tamassia, L.4
  • 36
    • 0037025180 scopus 로고    scopus 로고
    • Reduced systems of (2,2) pseudo-euclidean noncommutative self-dual Yang-Mills theories
    • M. Legaré, Reduced systems of (2,2) pseudo-euclidean noncommutative self-dual Yang-Mills theories, J. Phys. A: Math.Gen. 35 (2002) 5489.
    • (2002) J. Phys. A: Math.Gen. , vol.35 , pp. 5489
    • Legaré, M.1
  • 37
    • 23044454167 scopus 로고    scopus 로고
    • Soliton antisoliton scattering configurations in a noncommutative sigma model in 2 + 1 dimensions
    • [hep-th/0204185]
    • M. Wolf, Soliton antisoliton scattering configurations in a noncommutative sigma model in 2 + 1 dimensions, J. High Energy Phys. 06 (2002) 055 [hep-th/0204185];
    • (2002) J. High Energy Phys. , vol.6 , pp. 055
    • Wolf, M.1
  • 38
    • 23044447790 scopus 로고    scopus 로고
    • Comments on noncommutative sigma models
    • [hep-th/0211171]
    • J. Murugan and R. Adams, Comments on noncommutative sigma models, J. High Energy Phys. 12 (2002) 073 [hep-th/0211171].
    • (2002) J. High Energy Phys. , vol.12 , pp. 073
    • Murugan, J.1    Adams, R.2
  • 39
    • 0034882963 scopus 로고    scopus 로고
    • Noncommutative Chern-Simons solitons
    • [hep-th/0102137]
    • D. Bak, S.K. Kim, K.-S. Soh and J.H. Yee, Noncommutative Chern-Simons solitons, Phys. Rev. D 64 (2001) 025018 [hep-th/0102137].
    • (2001) Phys. Rev. D , vol.64 , pp. 025018
    • Bak, D.1    Kim, S.K.2    Soh, K.-S.3    Yee, J.H.4
  • 40
    • 3142596589 scopus 로고    scopus 로고
    • Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
    • [hep-th/0309015]
    • L. Hadasz, U. Lindström, M. Rocek and R. von Unge, Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields, Phys. Rev. D 69 (2004) 105020 [hep-th/0309015];
    • (2004) Phys. Rev. D , vol.69 , pp. 105020
    • Hadasz, L.1    Lindström, U.2    Rocek, M.3    Von Unge, R.4
  • 41
    • 1342300666 scopus 로고    scopus 로고
    • Moving vortices in noncommutative gauge theory
    • [hep-th/0311157]
    • P.A. Horvathy and P.C. Stichel, Moving vortices in noncommutative gauge theory, Phys. Lett. B 583 (2004) 353 [hep-th/0311157].
    • (2004) Phys. Lett. B , vol.583 , pp. 353
    • Horvathy, P.A.1    Stichel, P.C.2
  • 42
    • 0013308195 scopus 로고
    • On the energy spectrum of harmonic two shperes in unitary groups
    • G. Valli, On the energy spectrum of harmonic two shperes in unitary groups, Topology 27 (1988) 129.
    • (1988) Topology , vol.27 , pp. 129
    • Valli, G.1
  • 43
    • 3342916220 scopus 로고
    • General solutions of the U(3) and U(4) chiral sigma models in two-dimensions
    • B. Piette and W.J. Zakrzewski, General solutions of the U(3) and U(4) chiral sigma models in two-dimensions, Nucl. Phys. B 300 (1988) 207;
    • (1988) Nucl. Phys. B , vol.300 , pp. 207
    • Piette, B.1    Zakrzewski, W.J.2
  • 44
    • 23044438712 scopus 로고
    • Some classes of general solutions of the U(N) Chiral σ models in two dimensions
    • Some classes of general solutions of the U(N) Chiral σ models in two dimensions, Journ. Math. Phys. 30 (1989) 2233.
    • (1989) Journ. Math. Phys. , vol.30 , pp. 2233
  • 45
    • 0001210132 scopus 로고
    • Classical solutions of the Chiral model, unitons and holomorphic vector bundles
    • R.S. Ward, Classical solutions of the Chiral model, unitons and holomorphic vector bundles, Commun. Math. Phys. 128 (1990) 319.
    • (1990) Commun. Math. Phys. , vol.128 , pp. 319
    • Ward, R.S.1
  • 47
    • 0001296587 scopus 로고
    • Relativistic nonabelian selfdual Chern-Simons systems
    • K.-M. Lee, Relativistic nonabelian selfdual Chern-Simons systems, Phys. Lett. B 255 (1991) 381.
    • (1991) Phys. Lett. B , vol.255 , pp. 381
    • Lee, K.-M.1
  • 48
    • 0001574673 scopus 로고
    • Relativistic selfdual Chern-Simons vortices with adjoint coupling
    • G.V. Dunne, Relativistic selfdual Chern-Simons vortices with adjoint coupling, Phys. Lett. B 324 (1994) 359.
    • (1994) Phys. Lett. B , vol.324 , pp. 359
    • Dunne, G.V.1


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