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arXiv · 1502.05526

Abelian reductions of deformed ${\cal N}=4$ SYM

Carlos Cardona·Cristhiam Lopez-Arcos·Horatiu Nastase
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Abstract

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 only to a massive $ϕ^4$ model (scalar QED) coupled to a real scalar. We study the classical solutions of the model, in particular vortex solutions.

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Carlos Cardona, Cristhiam Lopez-Arcos, Horatiu Nastase. 2015-02-19. Abelian reductions of deformed ${\cal N}=4$ SYM. https://doi.org/10.1016/j.nuclphysb.2015.06.008

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