Giant Gravitons in type IIA PP-wave Background

TL;DR

This paper studies giant gravitons with magnetic flux in type IIA pp-wave backgrounds, revealing their movement, algebraic deformation, and BIon configurations, connecting to the spacetime uncertainty principle.

Contribution

It introduces a novel relation for giant gravitons in type IIA pp-wave backgrounds and explores their description as fuzzy spheres within D0-brane systems.

Findings

Giant gravitons can move along x^4 satisfying Rx^4=-q.

The position x^4 deforms the fuzzy algebra in D0-brane systems.

A BIon configuration is found on the giant graviton in this background.

Abstract

We examine giant gravitons with a worldvolume magnetic flux $q$ in type IIA pp-wave background and find that they can move away from the origin along $x^4$ direction in target space satisfying $Rx^4=-q$. This nontrivial relation can be regarded as a complementary relation of the giant graviton on IIA pp-wave and is shown to be connected to the spacetime uncertainty principle. The giant graviton is also investigated in a system of N D0-branes as a fuzzy sphere solution. It is observed that $x^4$ enters into the fuzzy algebra as a deformation parameter. Such a background dependent Myers effect guarantees that we again get the crucial relation of our giant graviton. In the paper, we also find a BIon configuration on the giant graviton in this background.