Non-perturbative Aspects of Kaluza-Klein Modes in Five-dimensional Supersymmetric QCD on S^1

TL;DR

This paper investigates the stability of Kaluza-Klein modes in five-dimensional supersymmetric QCD on a circle, revealing unique decay phenomena and identifying a potential dark matter candidate.

Contribution

It uncovers the non-perturbative stability properties of KK modes and identifies a stable gauge singlet state as a dark matter candidate.

Findings

The n=1 quark KK mode can decay, contrary to previous assumptions.

A stable massive gauge singlet KK state exists, suitable as dark matter.

The stability behavior of KK modes is more complex than previously thought.

Abstract

We study the stability of Kaluza-Klein (KK) modes in five-dimensional N=1 supersymmetric QCD compactified on S^1 using the D3-brane probe realization. We find a phenomenon in which the quark KK mode with the KK number n=1 decays while other KK modes are stable. This is contrary to the ordinary assumption that the state with n=1 is the most stable in quark KK modes. In addition, we show that a massive gauge singlet state carrying the KK number exists stably. This provides a proper candidate for dark matter.