Aharony-Bergman-Jaferis-Maldacena模型中涡旋的存在性定理
Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model
摘要：
在Aharony，Bergman，Jaferis和Maldacena的超对称Chern-Simons-Higgs理论形式中，希格斯玻色子和Dirac费米子位于一般规范对称性群$U(N)\times U(N)$的双基本表示中，建立了一系列尖锐的多重涡旋解的存在唯一性定理.控制方程是BPS型的，由Kim，Kim，Kwon和Nakajima在连续参数标记的质量变形框架中导出。
英文摘要：
A series of sharp existence and uniqueness theorems are established for the multiple vortex solutions in the supersymmetric Chern--Simons--Higgs theory formalism of Aharony, Bergman, Jaferis, and Maldacena, for which the Higgs bosons and Dirac fermions lie in the bifundamental representation of the general gauge symmetry group $U(N)\times U(N)$. The governing equations are of the BPS type and derived by Kim, Kim, Kwon, and Nakajima in the mass-deformed framework labeled by a continuous parameter.
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