References
- O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, High Energy Phys. 2008 (2008), no. 10, 091, 38 pp.
- L. G. Aldrovandi and F. A. Schaposnik, Non-Abelian vortices in Chern-Simons theories and their induced effective theory, Phys. Rev. D 76 (2007), 045010. https://doi.org/10.1103/PhysRevD.76.045010
- T. Aubin, Nonlinear Analysis on Manifolds: Monge-Ampere Equations, Springer, Berlin and New York, 1982.
- R. Auzzi, S. Bolognesi, J. Evslin, K. Konishi, and A. Yung, Non-Abelian superconduc- tors: vortices and confinement in N =2 SQCD, Nuclear Phys. B 673 (2003), 187-216. https://doi.org/10.1016/j.nuclphysb.2003.09.029
- R. Auzzi and S. P. Kumar, Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory, J. High Energy Phys. 2009 (2009), no. 10, 071, 35 pp.
- S. X. Chen, R. F. Zhang, and M. L. Zhu, Multiple vortices in the Aharony-Bergman- Jafferis-Maldacena model, Ann. H. Poincare, to appear.
- G. Dunne, Self-Dual Chern-Simons Theories, Lecture Notes in Physics, 36, Springer-Verlag, Berlin, 1995.
- G. Dunne, Aspects of Chern-Simons Theory, In: Aspects topologiques de la physique en basse dimension/Topological aspects of low dimensional systems (Les Houches, 1998), 177-263, EDP Sci., Les Ulis, 1999.
- J. Gomis, D. Rodriguez-Gomez, M. Van Raamsdonk, and H. Verlinde, A massive study of M2-brane proposals, J. High Energy Phys. 2008 (2008), no. 9, 113, 29 pp.
- S. B. Gudnason, Y. Jiang, and K. Konishi, Non-Abelian vortex dynamics: effective world-sheet action, J. High Energy Phys. 2010 (2010), no. 8, 012, 22 pp.
- J. Hong, Y. Kim, and P. Y. Pac, Multivortex solutions of the Abelian Chern-Simons-Higgs theory, Phys. Rev. Lett. 64 (1990), no. 19, 2230-2233. https://doi.org/10.1103/PhysRevLett.64.2230
- P. A. Horvathy and P. Zhang, Vortices in (Abelian) Chern-Simons gauge theory, Phys. Rept. 481 (2009), no. 5-6, 83-142. https://doi.org/10.1016/j.physrep.2009.07.003
- R. Jackiw, K. Lee, and E. J. Weinberg, Self-dual Chern-Simons solitons, Phys. Rev. D (3) 42 (1990), no. 10, 3488-3499. https://doi.org/10.1103/PhysRevD.42.3488
- R. Jackiw and E. J. Weinberg, Self-dual Chern-Simons vortices, Phys. Rev. Lett. 64 (1990), no. 19, 2234-2237. https://doi.org/10.1103/PhysRevLett.64.2234
- A. Jaffe and C. H. Taubes, Vortices and Monopoles, Birkhauser, Boston, 1980.
- C. N. Kumar and A. Khare, Charged vortex of finite energy in non-Abelian gauge the-ories with Chern-Simons term, Phys. Lett. B 178 (1986), no. 4, 395-399. https://doi.org/10.1016/0370-2693(86)91400-0
- E. H. Lieb and Y. Yang, Non-Abelian vortices in supersymmetric gauge field theory via direct methods, Comm. Math. Phys. 313 (2012), no. 2, 445-478. https://doi.org/10.1007/s00220-012-1433-z
- C. S. Lin, A. C. Ponce, and Y. Yang, A system of elliptic equations arising in Chern-Simons field theory, J. Funct. Anal. 247 (2007), no. 2, 289-350. https://doi.org/10.1016/j.jfa.2007.03.010
- C. S. Lin and J. V. Prajapat, Vortex condensates for relativistic Abelian Chern-Simons model with two Higgs scalar fields and two gauge fields on a torus, Comm. Math. Phys. 288 (2009), no. 1, 311-347. https://doi.org/10.1007/s00220-009-0774-8
- C. S. Lin and Y. Yang, Non-Abelian multiple vortices in supersymmetric field theory, Comm. Math. Phys. 304 (2011), no. 2, 433-457. https://doi.org/10.1007/s00220-011-1233-x
- C. S. Lin and Y. Yang, Sharp existence and uniqueness theorems for non-Abelian multiple vortex solutions, Nuclear Phys. B 846 (2011), no. 3, 650-676. https://doi.org/10.1016/j.nuclphysb.2011.01.019
- G. S. Lozano, D. Marqus, E. F. Moreno, and F. A. Schaposnik, Non-Abelian Chern-Simons vortices, Phys. Lett. B 654 (2007), no. 1-2, 27-34. https://doi.org/10.1016/j.physletb.2007.08.036
-
R. McOwen, On the equation u +
$Ke^{2u}$ = f and prescribed negative curvature in$R^2$ , J. Math. Anal. Appl. 103 (1984), no. 2, 365-370. https://doi.org/10.1016/0022-247X(84)90133-1 - G. Tarantello, Selfdual Gauge Field Vortices: An Analytical Approach, Birkhauser, Boston and Basel, 2008.
- D. Tong and K. Wong, Monopoles and Wilson lines, J. High Energy Phys. 06 (2014), 048.
- D. Tong and K. Wong, Vortices and impurities, J. High Energy Phys. 01 (2014), 090.
- Y. Yang, Solitons in Field Theory and Nonlinear Analysis, Springer Monographs in Mathematics, Springer-Verlag, Berlin and New York, 2001.
- R. Zhang and F. Li, Existence of charged vortices in a Maxwell-Chern-Simons model, J. Differential Equations 257 (2014), no. 7, 2728-2752. https://doi.org/10.1016/j.jde.2014.05.050
- R. Zhang and H. Li, Sharp existence theorems for multiple vortices induced from mag-netic impurities, Nonlinear Anal. 115 (2015), 117-129. https://doi.org/10.1016/j.na.2014.12.009
- R. Zhang and H. Li, Existence and uniqueness of domain wall solitons in a Maxwell-Chern-Simons model, J. Math. Phys. 55 (2014), 023501, 9 pp.