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arXiv · 1209.3078

Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model

Xiaosen Han·Yisong Yang
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Abstract

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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Xiaosen Han, Yisong Yang. 2012-09-14. Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model. https://doi.org/10.1007/s00220-014-2179-6

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