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A comment on anti-brane singularities in warped throats
High Energy Physics - Theory · Submitted 16 Feb 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim An analogy with anti-D6 backreaction suggests that such singularity may survive once full backreaction is taken into account and may be a universal feature of anti-brane solutions.
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The abstract, sentence by sentence
We compute the imaginary self-dual (ISD) and imaginary anti-self-dual (IASD) fluxes for the Klebanov-Strassler background perturbed by a stack of p anti-D3 branes. We show that, at linear order in p, they both have a singularity in the near-brane region. While one can argue that the IASD flux may disappear at full non-linear level, no such argument exists for the ISD mode. An analogy with anti-D6 backreaction suggests that such singularity may survive once full backreaction is taken into account and may be a universal feature of anti-brane solutions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute the imaginary self-dual (ISD) and imaginary anti-self-dual (IASD) fluxes for the Klebanov-Strassler background perturbed by a stack of p anti-D3 branes. | contribution 0.93 | 0.94 | 0.04 | asserted 0.99 |
| s1 | We show that, at linear order in p, they both have a singularity in the near-brane region. | result 1.00 | 0.95 | 0.27 | asserted 1.00 |
| s2 | While one can argue that the IASD flux may disappear at full non-linear level, no such argument exists for the ISD mode. | interpretation 0.56 | 0.36 | 0.30 | hedged possibility 0.63 |
| s3 | An analogy with anti-D6 backreaction suggests that such singularity may survive once full backreaction is taken into account and may be a universal feature of anti-brane solutions. | interpretation 1.00 | 0.15 | 0.41 | hedged possibility 1.00 |
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The paper
Original abstract
We compute the imaginary self-dual (ISD) and imaginary anti-self-dual (IASD) fluxes for the Klebanov-Strassler background perturbed by a stack of p anti-D3 branes. We show that, at linear order in p, they both have a singularity in the near-brane region. While one can argue that the IASD flux may disappear at full non-linear level, no such argument exists for the ISD mode. An analogy with anti-D6 backreaction suggests that such singularity may survive once full backreaction is taken into account and may be a universal feature of anti-brane solutions.
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References
How the literature uses it
16 arXiv papers cite this in 32 sentences
Papers citing it · 23 sentences without a confident label
Contests it 1 paper
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Subsequently one can interpret the singularity as the inability of the system to find a balance against this flux attraction[The arguments presented in [ref] that attribute the singularities to the perturbation theory is only valid for some of the components of the $G_3$ flux [ref] .].
Resolving anti-brane singularities through time-dependence · The problem setting · contest 0.73
Uses its method or tool 1 paper
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The full linearized solution provided by [ref] is rather involved and we use the solution provided by [ref] in which $3$s are added to the Klebanov-Tseytlin solution.
Falling flavors in AdS/CFT · Preliminaries and summary of results · 0.84
Cites it as support 2 papers
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In order that the unperturbed deformed conifold metric $g̃_mn$ shrinks smoothly at the tip, we furthermore expect that the energy density of $F_3$ along the A cycle contracted with $g̃_mn$ does not vanish at the tip: [equation] where the superscript denotes the component of $F_3$ along the A cycle.[This is not to be confused with the notation of [ref] , where the superscript in $F_3^A$ is an index running over all components of $F_3$.] This is motivated by the fact that the energy density of $F_3^A$ is non-vanishing and prevents the A cycle from collapsing at the tip of the deformed conifold before the perturbation by the $D3$-branes [ref] .
Cosmological Constant, Near Brane Behavior and Singularities · The Argument · 0.97
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In order that the unperturbed deformed conifold metric $g̃_mn$ shrinks smoothly at the tip, we furthermore expect that the energy density of $F_3$ along the A cycle contracted with $g̃_mn$ does not vanish at the tip, [equation] where the superscript denotes the component of $F_3$ along the A cycle.[This is not to be confused with the notation of [ref] , where the superscript in $F_3^A$ is an index running over all components of $F_3$.] This is motivated by the fact that the non-vanishing energy density of $F_3^A$ prevents the A cycle from collapsing at the tip of the deformed conifold before the perturbation by the -branes [ref] .
Backreaction of Localised Sources in String Compactifications · The Argument · 0.99
Cites it as background 5 papers
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The backreaction of the anti-D$3$-branes on the KS background has been heavily studied in recent years [ref] , which led to the discovery of (integrable) singularities in the energy densities of the NSNS and RR $3$-form field strengths $H$ and $F_3$ at the anti-brane position.
Dynamics of warped flux compactifications with backreacting anti-branes · I. Introduction · 0.89
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The backreaction of -branes on the Klebanov-Strassler background has been heavily studied in the literature [ref] .
Backreaction of Localised Sources in String Compactifications · Introduction · 0.99
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Although this solution is known [ref] , the analysis is considerably more involved and we will not consider it here.
Falling flavors in AdS/CFT · D7s and anti-D3s in Klebanov-Tseytlin · 0.90
What it cites · 55 sentences without a confident label
Builds on 1 paper
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From the result of [ref] , we then expect that for this flux the full backreacted solution will be described by the relation [equation] with a divergent $λ(τ)$ in the near–brane region (with $λ(τ) →+∞$).
(Anti-)Brane backreaction beyond perturbation theory · Infrared behavior · 0.81
Uses data or values from 1 paper
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For the ISD flux $G_+$ we also need the expansions for the modes $^a$ which can be found in section 6.4 of [ref] .
The backreaction of anti-D3 branes on the Klebanov-Strassler geometry · Infrared behavior · 0.87
Compares with 2 papers
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A similar situation was found for the full backreaction of anti–D6 branes in [ref] .
(Anti-)Brane backreaction beyond perturbation theory · Infrared behavior · 0.97
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This agrees with the computation à la KKLMMT [ref] and is a nice check that the boundary conditions are the correct ones to describe anti–branes.
Towards Inflation in String Theory · Anti–D3 branes on the deformed conifold · 0.98
Cites as support 3 papers
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This is supported by the construction of the fully backreacted solution for anti–D6 branes in a flux background [ref] , where a singularity in the $H$-flux is unavoidable.
Smeared versus localised sources in flux compactifications · Introduction · 1.00
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This is supported by the construction of the fully backreacted solution for anti–D6 branes in a flux background [ref] , where a singularity in the $H$-flux is unavoidable.
The problematic backreaction of SUSY-breaking branes · Introduction · 1.00
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This is supported by the construction of the fully backreacted solution for anti–D6 branes in a flux background [ref] , where a singularity in the $H$-flux is unavoidable.
(Anti-)Brane backreaction beyond perturbation theory · Introduction · 1.00
Cites as background 7 papers
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The full first–order backreacted solution possibly describing these anti–branes was obtained in [ref] , and the parameters of this anti–brane solution were schematically described in [ref] and computed in [ref] .
The backreaction of anti-D3 branes on the Klebanov-Strassler geometry · Introduction · 0.81
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The full first–order backreacted solution possibly describing these anti–branes was obtained in [ref] , and the parameters of this anti–brane solution were schematically described in [ref] and computed in [ref] .
On gravity dual of a metastable vacuum in Klebanov-Strassler theory · Introduction · 0.81
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The full first–order backreacted solution possibly describing these anti–branes was obtained in [ref] , and the parameters of this anti–brane solution were schematically described in [ref] and computed in [ref] .
On Metastable Vacua and the Warped Deformed Conifold: Analytic Results · Introduction · 0.81
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