BPS Electromagnetic Waves on Giant Gravitons

TL;DR

This paper discovers new 1/8-BPS giant graviton solutions in AdS5×S5 with three angular momenta, showing that electromagnetic waves on the brane preserve supersymmetry and contribute to angular momenta.

Contribution

It introduces novel giant graviton solutions with worldvolume gauge fields, revealing electromagnetic wave modes that preserve supersymmetry and affect angular momentum.

Findings

Nonzero gauge fields are compatible with supersymmetry.

Electromagnetic waves propagate along the S1 fiber in Hopf fibration.

Gauge fields contribute to the BPS angular momenta.

Abstract

We find new 1/8-BPS giant graviton solutions in $AdS_5 \times S^5$, carrying three angular momenta along $S^5$, and investigate their properties. Especially, we show that nonzero worldvolume gauge fields are admitted preserving supersymmetry. These gauge field modes can be viewed as electromagnetic waves along the compact D3 brane, whose Poynting vector contributes to the BPS angular momenta. We also analyze the (nearly-)spherical giant gravitons with worldvolume gauge fields in detail. Expressing the $S^3$ in Hopf fibration ($S^1$ fibred over $S^2$), the wave propagates along the $S^1$ fiber.