Non-Abelian Chern-Simons vortices with generic gauge groups

Nuclear Physics B

Volumn 821, Issue 1-2, 2009, Pages 151-169

  Gudnason, Sven Bjarke ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68049092924     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2009.06.014     Document Type: Article

References (45)

1. Zhang S.C., Hansson T.H., and Kivelson S. An effective field theory model for the fractional quantum hall effect. Phys. Rev. Lett. 62 (1988) 82
2. Deser S., Jackiw R., and Templeton S. Topologically massive gauge theories. Ann. Phys. 140 (1982) 372
3. Deser S., Jackiw R., and Templeton S. Ann. Phys. 185 (1988) 406 Erratum
4. Abrikosov A.A. On the Magnetic properties of superconductors of the second group. Sov. Phys. JETP 5 (1957) 1174
5. Abrikosov A.A. On the Magnetic properties of superconductors of the second group. Zh. Eksp. Teor. Fiz. 32 (1957) 1442
6. Nielsen H.B., and Olesen P. Vortex-line models for dual strings. Nucl. Phys. B 61 (1973) 45
7. Hong J., Kim Y., and Pac P.Y. On the multivortex solutions of the Abelian Chern-Simons-Higgs theory. Phys. Rev. Lett. 64 (1990) 2230
8. Jackiw R., Lee K.M., and Weinberg E.J. Selfdual Chern-Simons solitons. Phys. Rev. D 42 (1990) 3488
9. Bogomolny E.B. Stability of classical solutions. Sov. J. Nucl. Phys. 24 (1976) 449
10. Bogomolny E.B. Stability of classical solutions. Yad. Fiz. 24 (1976) 861
11. Bolognesi S., and Gudnason S.B. A note on Chern-Simons solitons - a type III vortex from the wall vortex. Nucl. Phys. B 805 (2008) 104. arXiv:0711.3803 [hep-th]
12. Hanany A., and Tong D. Vortices, instantons and branes. JHEP 0307 (2003) 037. arXiv:hep-th/0306150
13. Auzzi R., Bolognesi S., Evslin J., Konishi K., and Yung A. Non-Abelian superconductors: Vortices and confinement in N = 2 SQCD. Nucl. Phys. B 673 (2003) 187. arXiv:hep-th/0307287
14. Ferretti L., Gudnason S.B., and Konishi K. Non-Abelian vortices and monopoles in SO (N) theories. Nucl. Phys. B 789 (2008) 84. arXiv:0706.3854 [hep-th]
15. Eto M., Fujimori T., Gudnason S.B., Konishi K., Nitta M., Ohashi K., and Vinci W. Constructing non-Abelian vortices with arbitrary gauge groups. Phys. Lett. B 669 (2008) 98. arXiv:0802.1020 [hep-th]
16. Eto M., et al. Non-Abelian vortices in SO (N) and USp (N) gauge theories. arXiv:0903.4471 [hep-th]
17. Eto M., Isozumi Y., Nitta M., Ohashi K., and Sakai N. Moduli space of non-Abelian vortices. Phys. Rev. Lett. 96 (2006) 161601. arXiv:hep-th/0511088
18. Auzzi R., Shifman M., and Yung A. Composite non-Abelian flux tubes in N = 2 SQCD. Phys. Rev. D 73 (2006) 105012. arXiv:hep-th/0511150
19. Auzzi R., Shifman M., and Yung A. Phys. Rev. D 76 (2007) 109901 Erratum
20. Eto M., Konishi K., Marmorini G., Nitta M., Ohashi K., Vinci W., and Yokoi N. Non-Abelian vortices of higher winding numbers. Phys. Rev. D 74 (2006) 065021. arXiv:hep-th/0607070
21. Tong D. TASI lectures on solitons. arXiv:hep-th/0509216
22. Eto M., Isozumi Y., Nitta M., Ohashi K., and Sakai N. Solitons in the Higgs phase: The moduli matrix approach. J. Phys. A 39 (2006) R315. arXiv:hep-th/0602170
23. Shifman M., and Yung A. Supersymmetric solitons and how they help us understand non-Abelian gauge theories. Rev. Mod. Phys. 79 (2007) 1139. arXiv:hep-th/0703267
24. de Vega H.J., and Schaposnik F.A. Vortices and electrically charged vortices in non-Abelian gauge theories. Phys. Rev. D 34 (1986) 3206
25. Kumar C.N., and Khare A. Charged vortex of finite energy in non-Abelian gauge theories with Chern-Simons term. Phys. Lett. B 178 (1986) 395
26. de Vega H.J., and Schaposnik F.A. Electrically charged vortices in non-Abelian gauge theories with Chern-Simons term. Phys. Rev. Lett. 56 (1986) 2564
27. Navarro-Lerida F., Radu E., and Tchrakian D.H. Non-Abelian Chern-Simons-Higgs solutions in (2 + 1) dimensions. arXiv:0811.3524 [hep-th]
28. Aldrovandi L.G., and Schaposnik F.A. Non-Abelian vortices in Chern-Simons theories and their induced effective theory. Phys. Rev. D 76 (2007) 045010. arXiv:hep-th/0702209
29. Lozano G.S., Marques D., Moreno E.F., and Schaposnik F.A. Non-Abelian Chern-Simons vortices. Phys. Lett. B 654 (2007) 27. arXiv:0704.2224 [hep-th]
30. Collie B., and Tong D. The dynamics of Chern-Simons vortices. Phys. Rev. D 78 (2008) 065013. arXiv:0805.0602 [hep-th]
31. Collie B. Dyonic non-Abelian vortices. J. Phys. A 42 (2009) 085404. arXiv:0809.0394 [hep-th]
32. Buck M., Moreno E.F., and Schaposnik F.A. Local and semi-local vortices in Yang-Mills-Chern-Simons model. arXiv:0902.0738 [hep-th]
33. Dunne G.V. Aspects of Chern-Simons theory. arXiv:hep-th/9902115
34. Horvathy P.A., and Zhang P. Vortices in (Abelian) Chern-Simons gauge theory. arXiv:0811.2094 [hep-th]
35. Deser S., Jackiw R., and Templeton S. Three-dimensional massive gauge theories. Phys. Rev. Lett. 48 (1982) 975
36. M. Eto, S.B. Gudnason, in preparation
37. Eto M., Fujimori T., Gudnason S.B., Nitta M., and Ohashi K. SO and USp Kähler and hyper-Kähler quotients and lumps. Nucl. Phys. B 815 (2009) 495. arXiv:0809.2014 [hep-th]
38. Wang R. The existence of Chern-Simons vortices. Commun. Math. Phys. 137 (1991) 587
39. Mundet I., and Riera i. Yang-Mills-Higgs theory for symplectic fibrations. arXiv:math/9912150
40. Cieliebak K., Rita Gaio A., and Salamon D.A. J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions. Int. Math. Res. Notices (2000) 831. arXiv:math.SG/9909122
41. Baptista J.M. Vortex equations in Abelian gauged sigma-models. Commun. Math. Phys. 261 (2006) 161. arXiv:math/0411517
42. Baptista J.M. Non-Abelian vortices on compact Riemann surfaces. arXiv:0810.3220 [hep-th]
43. Aharony O., Bergman O., Jafferis D.L., and Maldacena J. N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals. JHEP 0810 (2008) 091. arXiv:0806.1218 [hep-th]
44. Kawai S., and Sasaki S. BPS vortices in non-relativistic M2-brane Chern-Simons-matter theory. arXiv:0903.3223 [hep-th]
45. Kim C., Kim Y., Kwon O.K., and Nakajima H. Vortex-type half-BPS solitons in ABJM theory. arXiv:0905.1759 [hep-th]