Comments on the stability of the KPV state

Abstract

Using the blackfold approach, we study the classical stability of the KPV (Kachru-Pearson-Verlinde) state of anti-D3 branes at the tip of the Klebanov-Strassler throat. With regards to generic long-wavelength deformations considered, we found no instabilities. We comment on the relation of our results to existing results on the stability of the KPV state.

On matched asymptotic expansions of backreacting metastable anti-branes

“…the spherical NS5 branes with dissolved anti-D3 brane charge, has classical instabilities [35]. On the other hand, by studying generic deformations of the KPV state using the blackfold approach, [10] observed that classical instabilities are not allowed. The disparity of the two results, in [9,35] and [10], could be due to the fact that these works are applicable in complementary regimes of validity.…”

“…On the other hand, by studying generic deformations of the KPV state using the blackfold approach, [10] observed that classical instabilities are not allowed. The disparity of the two results, in [9,35] and [10], could be due to the fact that these works are applicable in complementary regimes of validity. In particular, while the technique employed in [9] is reliable for studying situations where the spherical polarised state has a small/finite radius and is located near the North pole, i.e.…”

“…In particular, while the technique employed in [9] is reliable for studying situations where the spherical polarised state has a small/finite radius and is located near the North pole, i.e. when M is small, the results in [10] are reliable when the spherical polarised state has a very large radius and is located away from the North pole, i.e. when M is large.…”

“…There have been studies on whether this happens, e.g. [9,10], which we will discuss further in the Outlook section. On the left, we present an illustrative picture of the tip of the KS throat, which is an S 3 .…”

Brane/flux annihilation in double-throat system

“…Here, g i are parametrized with respect to S 3 coordinates (ψ, ω, ϕ) and S 2 coordinates (ω, φ), which are appropriate to describe the brane/flux annihilation (for derivation, see, e.g., [43]). Meanwhile, the throat geometry far from the tip is close to AdS 5 ×T 1,1 , the metric of which is written as…”