Nonrelativistic limit of the abelianized ABJM model and the ADS/CMT correspondence

TL;DR

This paper derives a supersymmetric nonrelativistic limit of the abelian ABJM model, revealing a duality with a gravity theory and contributing to the understanding of the AdS/CMT correspondence.

Contribution

It introduces a supersymmetric Jackiw-Pi model from the ABJM reduction and explores its duality with a gravity theory, advancing the top-down approach in AdS/CMT.

Findings

The model exhibits ${ m N}=2$ Super-Schrödinger symmetry.

Jackiw-Pi vortices appear as BPS solutions.

A dual gravity description is identified.

Abstract

We consider the nonrelativistic limit of the abelian reduction of the massive ABJM model proposed in \cite{Mohammed:2012gi}, obtaining a supersymmetric version of the Jackiw-Pi model. The system exhibits an ${\cal N}=2$ Super-Schr\"odinger symmetry with the Jackiw-Pi vortices emerging as BPS solutions. We find that this $(2+1)$-dimensional abelian field theory is dual to a certain (3+1)-dimensional gravity theory that differs somewhat from previously considered abelian condensed matter stand-ins for the ABJM model. We close by commenting on progress in the top-down realization of the AdS/CMT correspondence in a critical string theory.