Stability of D brane Anti D brane Systems in Confining Gauge Theories

TL;DR

This paper investigates the stability of D brane anti-D brane bound states in confining gauge theories, confirming their stability against tachyonic instabilities in various configurations relevant to holographic duals.

Contribution

It provides a stability analysis of specific D brane anti-D brane configurations in supergravity backgrounds dual to confining gauge theories, including baryonium and flavor quark models.

Findings

Bound states are stable against tachyon instability.

Stability confirmed for D5 with flux and D6, D8 without flux.

Supports the use of these configurations in holographic QCD models.

Abstract

We study the stability of a special form of D brane embedding which is regarded as a bound state of D$_n$ and anti-D$_n$-brane embedded in a 10D supergravity background which is dual to a confining gauge theory. For D5 branes with $U(1)$ flux, their bound state configuration can be regarded as the baryonium vertex. For D branes of $n=6$ and 8 without the $U(1)$ flux, their bound states have been used to introduce flavor quarks in the dual supersymmetric Yang-Mills theory. In any case, it would be important to assure that they are free from tachyon instability. For all these cases, we could show their stability with respect to this point.