Fuzzy Ring from M2-brane Giant Torus

TL;DR

This paper constructs spinning M2 and D2 giant graviton configurations with toroidal world-volumes in AdS_4 backgrounds, revealing new mechanisms for angular momentum and potential supersymmetric black rings.

Contribution

It introduces a novel construction of spinning dual M2 and dielectric D2-branes with toroidal shapes, linking them to BPS operators in ABJM theory and suggesting black ring solutions in AdS_4.

Findings

Giant gravitons form torus-shaped world-volumes.

Large angular momentum leads to ring-like structures.

Potential existence of supersymmetric black rings in AdS_4.

Abstract

We construct spinning dual M2 giant gravitons in AdS_4 x S^7, which generically become 1/16 BPS states, and show that their world-volumes become torii. By taking an orbifold, we obtain spinning dielectric D2-brane configurations in AdS_4 x CP^3 dual to specific BPS operators in ABJM theory. This reveals a novel mechanism how to give an angular momentum to a dielectric D2-brane. We also find that when its angular momentum in the AdS_4 becomes large, it approaches to a ring-like object. Our result might suggest an existence of supersymmetric black rings in the AdS_4 background. We will also discuss dual giant gravitons in AdS_4 x CP^3.