Non-Abelian Multiple Vortices in Supersymmetric Field Theory |
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Authors: | Chang-Shou Lin Yisong Yang |
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Affiliation: | 1.Department of Mathematics,National Taiwan University,Taipei,Taiwan, ROC;2.Department of Mathematics,Polytechnic Institute of New York University,Brooklyn, New York,USA |
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Abstract: | In this paper, we consider a system of non-Abelian multiple vortex equations governing coupled SU(N) and U(1) gauge and Higgs fields which may be embedded in a supersymmetric field theory framework. When the underlying domain is doubly periodic, we prove the existence and uniqueness of an n-vortex solution under a necessary and sufficient condition explicitly relating the domain size to the vortex number n and the Higgs boson masses. When the underlying domain is the full plane, we use a constructive approach to establish the existence and uniqueness of an n-vortex solution. |
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