Holography of mass-deformed M2-branes

TL;DR

This paper constructs gravity duals for the vacua of mass-deformed M2-brane theories, extending previous solutions with new quotients and torsions, and confirms their correspondence with field theory vacua through mass calculations.

Contribution

It introduces new gravity dual solutions for mass-deformed M2-branes incorporating Z_k quotients and discrete torsions, linking them to supersymmetric field theory vacua.

Findings

Gravity duals extend Lin, Lunin, Maldacena solutions with Z_k quotient.

Masses of BPS particles match between gravity and field theory calculations.

Non-relativistic conformal symmetry is realized non-geometrically in the duals.

Abstract

We find and study the gravity duals of the supersymmetric vacua of N=6 mass-deformed Chern-Simons-matter theory for M2-branes. The classical solution extends that of Lin, Lunin and Maldacena by introducing a Z_k quotient and discrete torsions. The gravity vacua perfectly map to the recently identified supersymmetric field theory vacua. We calculate the masses of BPS charged particles in the weakly coupled field theory, which agree with the classical open membrane analysis when both calculations are reliable. We also comment on how non-relativistic conformal symmetry is realized in our gravity duals in a non-geometric way.