Abelian reductions of deformed N=4 SYM

Carlos Cardona, Cristhiam Lopez-Arcos, Horatiu Nastase
2015 Nuclear Physics B  
Following the work in \cite{Mohammed:2012gi}, where the massive ABJM model in 2+1 dimensions was shown to have an abelian reduction to the relativistic Landau-Ginzburg, and motivated by the implications for condensed matter through AdS/CFT, we show that a FI deformation of ${\cal N}=4$ SYM in 3+1 dimensions with a mass term can also be reduced to a relativistic Landau-Ginzburg model, with the possibility of coupling it to a real scalar, whereas the simply mass deformed ${\cal N}=4$ SYM reduces
more » ... N}=4$ SYM reduces only to a massive $\phi^4$ model (scalar QED) coupled to a real scalar. We study the classical solutions of the model, in particular vortex solutions.
doi:10.1016/j.nuclphysb.2015.06.008 fatcat:r7b5nrwdh5hlri3hn42dlemu2m