Zero Modes for the Boundary Giant Magnons

TL;DR

This paper analyzes fermion zero-mode dynamics for open strings on boundary giant magnons, revealing how boundary conditions influence the spectrum and symmetry realization in the context of AdS/CFT correspondence.

Contribution

It provides a detailed quantization of fermion zero-modes for open strings on boundary giant magnons, matching boundary state counts and symmetry structures.

Findings

Quantization reproduces 256 boundary states for Z=0 brane.

Fermion zero-modes yield a unique vacuum for Y=0 brane.

Exact realization of SU(2|2) x SU(2|2) symmetry algebra.

Abstract

We study the fermion zero-mode dynamics for open strings ending on the giant graviton branes. For the open string ending on the Z=0 brane, the quantization of the fermion zero-modes of boundary giant magnons reproduces the 256 states of the boundary degrees with the precise realization of the SU(2|2) X SU(2|2) symmetry algebra. Also for the open string ending on the Y=0 brane, we reproduce the unique vacuum state from the fermion zero-modes.