Nonrelativistic Superconformal M2-Brane Theory

TL;DR

This paper develops a nonrelativistic superconformal field theory with 14 supercharges to describe low-energy excitations of M2 branes in a mass-deformed ABJM background, analyzing algebraic structures and operator bounds.

Contribution

It introduces a nonrelativistic superconformal framework for M2-brane excitations, including algebraic analysis and unitarity bounds, extending the understanding of brane dynamics in flux backgrounds.

Findings

Derived unitarity bounds on operator dimensions and particle numbers.

Analyzed the superconformal algebra and its representations.

Commented on the challenges in computing the superconformal Witten index.

Abstract

We investigate the low energy physics of particles in the symmetric phase of the N=6 mass-deformed ABJM theory in terms of the superconformal nonrelativistic field theory with 14 supercharges. They describe the certain kind of excitations on M2 branes in the background of external four-form flux. We study the nonrelativistic superconformal algebra and their representations by using the operator-state correspondence with the related harmonic oscillator Hamiltonian. We find the unitarity bounds on the scaling dimension and particle number of any local operator, and comment on subtleties in computing the superconformal Witten index that counts the chiral operators.