Fat Magnon

TL;DR

This paper introduces a bound state of a giant graviton and a giant magnon, sharing the same anomalous dimension as the giant magnon, described by a D3-brane with electric flux, revealing new insights into their dual gauge theory operators.

Contribution

It presents a novel bound state of a giant graviton and a giant magnon with identical anomalous dimensions, described by a D3-brane with electric flux, and explores its dual gauge theory operator structure.

Findings

The bound state has the same anomalous dimension as the giant magnon.

The energy and angular momentum split into infinite and finite parts.

The dual gauge operator is an admixture of determinant and chain types.

Abstract

We consider a D-brane type state which shares the characteristic of the recently found giant magnon of Hofman and Maldacena. More specifically we find a bound state of giant graviton (D3-brane) and giant magnon (F-string), which has exactly the same anomalous dimension as that of the giant magnon. It is described by the D3-brane with electric flux which is topologically a $S^3$ elongated by the electric flux. The angular momentum and energy are infinite, but split sensibly into two parts -- the infinite part precisely the same as that of the giant magnon and the finite part which can be identified as the contribution from the giant graviton. We discuss that the corresponding dual gauge theory operator is not a simple chain type but rather admixture of the (sub-)determinant and chain types.