A harmonic family of dielectric flow solutions with maximal supersymmetry

TL;DR

This paper constructs a new family of supersymmetric dielectric flow solutions in eleven-dimensional supergravity, revealing how M2 branes polarize into M5 branes and providing insights into giant graviton configurations.

Contribution

It introduces a harmonic family of solutions with maximal supersymmetry that describe dielectric polarization of M2 branes into M5 branes in supergravity.

Findings

Solutions are asymptotically AdS_4 x S^7.

Infra-red limit shows M2 branes polarize into M5 branes.

Provides insight into supergravity solutions sourced by giant gravitons.

Abstract

We construct a new harmonic family: dielectric flow solutions with maximal supersymmetry in eleven-dimensional supergravity. These solutions are asymptotically AdS_4 x S^7, while in the infra-red the M2 branes are dielectrically polarized into M5 branes. These solutions are holographically dual to vacua of the mass deformed theory on M2 branes. They also provide an interesting insight on the supergravity solutions sourced by giant gravitons, allowing one to see how supergravity solves the giant graviton puzzle.