Comments on noncommutative sigma models

Journal of High Energy Physics

Volumn 6, Issue 12, 2002, Pages 1695-1716

  Murugan, Jeff ^a   Adams, Rory ^a  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

Non Commutative Geometry; Sigma Models; Solitons Monopoles and Instantons

Indexed keywords

EID: 23044447790     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/12/073     Document Type: Review

References (39)

1. M.F. Atiyah and N.J. Hitchin, Low-energy scattering of nonabelian monopoles, Phys. Lett. A 107 (1985) 21.
2. D. Bak, Exact multi-vortex solutions in noncommutative abelian- Higgs theory, Phys. Lett. B 495 (2000) 251 [hep-th/0008204].
3. D. Bak, K.-M. Lee and J.-H. Park, Noncommutative vortex solitons, Phys. Rev. D 63 (2001) 125010 [hep-th/0011099].
4. H.W. Braden and N.A. Nekrasov, Instantons, Hilbert schemes and integrability, hep-th/0103204.
5. L. Bonora, D. Mamone and M. Salizzoni, Vacuum string field theory with B field, J. High Energy Phys. 04 (2002) 020 [hep-th/0203188].
6. L. Bonora, D. Mamone and M. Salizzoni, Vacuum string field theory ancestors of the GMS solitons, J. High Energy Phys. 01 (2003) 013 [hep-th/0207044].
7. n-1 model, Nucl. Phys. B 174 (1980) 397.
8. A.M. Din and W.J. Zakrzewski, Further properties of classical solutions in grassmannian sigma models, Nucl. Phys. B 237 (1984) 461.
9. n-1 model, Phys. Lett. B 547 (2002) 79 [hep-th/0209111].
10. 1 solitons in 2+1 dimensions, Phys. Lett. B 537 (2002) 165 [hep-th/0203125].
11. 1 model in (2+1)-dimensions, J. High Energy Phys. 08 (2002) 009 [hep-th/0207166].
12. R. Gopakumar, S. Minwalla and A. Strominger, Noncommutative solitons, J. High Energy Phys. 05 (2000) 020 [hep-th/0003160].
13. R. Gopakumar, M. Headrick and M. Spradlin, On noncommutative multi-solitons, hep-th/0103256.
14. D.J. Gross and N.A. Nekrasov, Solitons in noncommutative gauge theory, J. High Energy Phys. 03 (2001) 044 [hep-th/0010090].
15. J. Gutowski and G. Papadopoulos, The moduli spaces of worldvolume brane solitons, Phys. Lett. B 432 (1998) 97 [hep-th/9802186].
16. 1 stringy cosmic lumps, Phys. Lett. B 525 (2002) 150 [hep-th/0109123].
17. J.A. Harvey, Komaba lectures on noncommutative solitons and D-branes, hep-th/0102076.
18. J.A. Harvey, P. Kraus, F. Larsen and E.J. Martinec, D-branes and strings as non-commutative solitons, J. High Energy Phys. 07 (2000) 042 [hep-th/0005031].
19. J.A. Harvey, P. Kraus and F. Larsen, Exact noncommutative solitons, J. High Energy Phys. 12 (2000) 024 [hep-th/0010060].
20. M. Ihl and S. Uhlmann, Noncommutative extended waves and soliton-like configurations in N = 2 string theory, hep-th/0211263.
21. T.A. Ioannidou, G. Papadopoulos and P.M. Sutcliffe, Non-BPS D-branes from sigma model solitons, J. High Energy Phys. 09 (1999) 016 [hep-th/9907156].
22. 4, J. High Energy Phys. 08 (2002) 028 [hep-th/0201196].
23. D.P. Jatkar, G. Mandal and S.R. Wadia, Nielsen-Olesen vortices in noncommutative abelian Higgs model, J. High Energy Phys. 09 (2000) 018 [hep-th/0007078].
24. O. Lechtenfeld and A.D. Popov, Noncommutative multi-solitons in 2+1 dimensions, J. High Energy Phys. 11 (2001) 040 [hep-th/0106213].
25. O. Lechtenfeld and A.D. Popov, Scattering of noncommutative solitons in 2+1 dimensions, Phys. Lett. B 523 (2001) 178 [hep-th/0108118].
26. 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].
27. n model on noncommutative plane, Phys. Lett. B 498 (2001) 277 [hep-th/0007140].
28. N.S. Manton, A remark on the scattering of BPS monopoles, Phys. Lett. B 110 (1982) 54.
29. N.A. Nekrasov, Noncommutative instantons revisited, hep-th/0010017.
30. H. Ooguri and C. Vafa, Geometry of N = 2 strings, Nucl. Phys. B 361 (1991) 469.
31. R. Sasaki, J. Math. Phys. 26 (1985) 7.
32. B.J. Schroers, The spectrum of Bogomol'nyi solitons in gauged linear sigma models, Nucl. Phys. B 475 (1996) 440 [hep-th/9603101].
33. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
34. 1 lumps, Phys. Lett. B 511 (2001) 295 [hep-th/0105142].
35. D. Tong, The moduli space of noncommutative vortices, hep-th/0210010.
36. P.K. Townsend, Brane theory solitons, hep-th/0004039.
37. 1 model in (2+1)-dimensions, Phys. Lett. B 158 (1985) 424.
38. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253.
39. W.J. Zakrzewski Low dimensional sigma models, IOPP 1989.