1209.3078 (Xiaosen Han et al.)

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

Xiaosen Han, Yisong Yang

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.

View original: http://arxiv.org/abs/1209.3078