Supersymmetries and BPS Configurations on Anti-de Sitter Space

TL;DR

This paper investigates how branes on anti-de Sitter space affect supersymmetry, deriving conditions for preserving supersymmetry, and constructs a brane configuration representing a baryon as a marginal bound state of quarks, consistent with supersymmetry.

Contribution

It provides new conditions for supersymmetry preservation in brane configurations on anti-de Sitter space and models a baryon as a supersymmetric bound state of quarks.

Findings

Derived conditions for supersymmetry preservation with branes on AdS.

Constructed a brane configuration corresponding to a baryon.

Showed the baryon is a marginal bound state of quarks.

Abstract

We study supersymmetry breaking due to the presence of branes on anti-de Sitter space and obtain conditions for brane orientations not to break too many supersymmetries. Using the conditions, we construct a brane configuration corresponding to a baryon in large N gauge theory, and it is shown that the baryon is a marginal bound state of quarks as is expected from supersymmetry.