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In this paper, we discuss the existence theorem for multiple vortex solutions in the non-Abelian Chern--Simons--Higgs field theory developed by Aharony, Bergman, Jafferis, and Maldacena, on a doubly periodic domain. The governing equations are of the BPS type and derived by Auzzi and Kumar in the mass-deformed framework labeled by a continuous parameter. Our method is based on fixed point method.
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참고문헌 (30)
참고문헌 신청
A. Jaffe / 1980 / Vortices and Monopoles / Birkh¨auser
C. N. Kumar / 1986 / Charged vortex of finite energy in non-Abelian gauge the-ories with Chern-Simons term / Phys. Lett. B 178 (4) : 395 ~ 399
C. S. Lin / 2007 / A system of elliptic equations arising in Chern?Simons field theory / J. Funct. Anal 247 (2) : 289 ~ 350
C. S. Lin / 2009 / Vortex condensates for relativistic Abelian Chern?Simons model with two Higgs scalar fields and two gauge fields on a torus / Comm. Math. Phys 288 (1) : 3
C. S. Lin / 2011 / Non-Abelian multiple vortices in supersymmetric field theory / Comm. Math. Phys 304 (2) : 433 ~ 457
C. N. Kumar / 1986 / Charged vortex of finite energy in non-Abelian gauge the-ories with Chern-Simons term / Phys. Lett. B 178 (4) : 395 ~ 399
C. S. Lin / 2007 / A system of elliptic equations arising in Chern?Simons field theory / J. Funct. Anal 247 (2) : 289 ~ 350
C. S. Lin / 2009 / Vortex condensates for relativistic Abelian Chern?Simons model with two Higgs scalar fields and two gauge fields on a torus / Comm. Math. Phys 288 (1) : 3
C. S. Lin / 2011 / Non-Abelian multiple vortices in supersymmetric field theory / Comm. Math. Phys 304 (2) : 433 ~ 457
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