Hyperfine Splitting and the Zeeman Effect in Holographic Heavy-Light Mesons

TL;DR

This paper explores how supersymmetry breaking in holographic heavy-light mesons leads to hyperfine splitting and Zeeman effects, analyzing their emergence through D7 brane tilting and magnetic fields.

Contribution

It introduces explicit supersymmetry breaking mechanisms in holographic mesons and studies the resulting hyperfine and Zeeman splittings using the AdS/CFT framework.

Findings

Supersymmetry breaking lifts meson degeneracies.

Hyperfine structure emerges from D7 brane tilting.

Zeeman effect observed under external magnetic fields.

Abstract

We inspect the mass spectrum of heavy-light mesons in deformed N=2 super Yang-Mills theory using the AdS/CFT correspondence. We demonstrate how some of the degeneracies of the supersymmetric meson spectrum can be removed upon breaking the supersymmetry, thus leading to the emergence of hyperfine structure. The explicit SUSY breaking scenarios we consider involve on one hand tilting one of the two fundamental D7 branes inside the internal R^6 space, and on the other hand applying an external magnetic field on the (untilted) branes. The latter scenario leads to the well-known Zeeman effect, which we inspect for both weak and strong magnetic fields.