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The Backreaction of Anti-M2 Branes on a Warped Stenzel Space
High Energy Physics - Theory · Submitted 9 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Given that a similar singularity appears when placing anti-D3 branes in the Klebanov-Strassler solution, our work strengthens the possibility that anti-branes in warped throats do not give rise to metastable vacua.
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The abstract, sentence by sentence
We find the superpotential governing the supersymmetric warped M-theory solution with a transverse Stenzel space found by Cvetic, Gibbons, Lu and Pope in hep-th/0012011, and use this superpotential to extract and solve the twelve coupled equations underlying the first-order backreacted solution of a stack of anti-M2 branes in this space. These anti-M2 branes were analyzed recently in a probe approximation by Klebanov and Pufu, who conjectured that they should be dual to a metastable vacuum of a supersymmetric 2+1 dimensional theory. We find that the would-be supergravity dual to such a metastable vacuum must have an infrared singularity and discuss whether this singularity is acceptable or not. Given that a similar singularity appears when placing anti-D3 branes in the Klebanov-Strassler solution, our work strengthens the possibility that anti-branes in warped throats do not give rise to metastable vacua.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We find the superpotential governing the supersymmetric warped M-theory solution with a transverse Stenzel space found by Cvetic, Gibbons, Lu and Pope in hep-th/0012011, and use this superpotential to extract and solve the twelve coupled equations underlying the first-order backreacted solution of a stack of anti-M2 branes in this space. | contribution 0.77 | 0.95 | 0.08 | asserted 1.00 |
| s1 | These anti-M2 branes were analyzed recently in a probe approximation by Klebanov and Pufu, who conjectured that they should be dual to a metastable vacuum of a supersymmetric 2+1 dimensional theory. | background 1.00 | 0.04 | 0.03 | speculative 0.55 |
| s2 | We find that the would-be supergravity dual to such a metastable vacuum must have an infrared singularity and discuss whether this singularity is acceptable or not. | result 0.96 | 0.94 | 0.26 | asserted 0.99 |
| s3 | Given that a similar singularity appears when placing anti-D3 branes in the Klebanov-Strassler solution, our work strengthens the possibility that anti-branes in warped throats do not give rise to metastable vacua. | interpretation 1.00 | 0.48 | 0.62 | hedged possibility 0.99 |
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The paper
Original abstract
We find the superpotential governing the supersymmetric warped M-theory solution with a transverse Stenzel space found by Cvetic, Gibbons, Lu and Pope in hep-th/0012011, and use this superpotential to extract and solve the twelve coupled equations underlying the first-order backreacted solution of a stack of anti-M2 branes in this space. These anti-M2 branes were analyzed recently in a probe approximation by Klebanov and Pufu, who conjectured that they should be dual to a metastable vacuum of a supersymmetric 2+1 dimensional theory. We find that the would-be supergravity dual to such a metastable vacuum must have an infrared singularity and discuss whether this singularity is acceptable or not. Given that a similar singularity appears when placing anti-D3 branes in the Klebanov-Strassler solution, our work strengthens the possibility that anti-branes in warped throats do not give rise to metastable vacua.
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References
How the literature uses it
33 arXiv papers cite this in 77 sentences
Papers citing it · 52 sentences without a confident label
Builds on it 3 papers
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Our solution provides an interpolation between the IR and UV behaviors previously constructed in [ref] and it should contain interesting informations about the dual (2+1)-dimensional gauge theory.
Metastable Vacua and the Backreacted Stenzel Geometry · Conclusions · 0.81
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The above type IIA analysis completes the program of investigating the would–be backreacted supergravity duals to metastable supersymmetry–breaking vacua, which was originally started in a type IIB setting [ref] , and next considered in [ref] in an 11–dimensional context.
Assessing a candidate IIA dual to metastable supersymmetry-breaking · Assessing the anti–D2 brane solution · 0.89
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Then, in Section [ref], we extend the results of [ref] to localised branes, showing that extremal anti M2-branes with trivial horizon topology cannot have a regular horizon.
Polarised antibranes from Smarr relations · Introduction · 0.89
Uses its method or tool 2 papers
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In Section 3 we use the first–order backreacted solutions of [ref] and [ref] to compute this force using the action of probe D3 and M2 branes, respectively.
On The Inflaton Potential From Antibranes in Warped Throats · Introduction and Motivation · 0.83
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We apply the method of Borokhov and Gubser [ref] that was also used in [ref] to solve the eleven–dimensional supergravity equations perturbatively around a supersymmetric solution.
Insane Anti-Membranes? · Deforming a supersymmetric background · 1.00
Compares with it 7 papers
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However, after imposing the previous boundary conditions, the solution presents an even worse singularity appearing in the field strength $F_4^2$ [ref] [equation] which is quite analogous to the divergence found in the anti–D3 solution [ref] , with the difference that now the action is divergent.
Metastable Vacua and the Backreacted Stenzel Geometry · IR and UV boundary conditions · 0.91
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One has to face that at least one of the perturbed NSNS or RR fluxes contributes to a divergent energy density and to a divergent action as well (given that the factor $√(g_10)≃√(r-1)$ appearing in the ten–dimensional action [ref] is not enough to make the action finite in the IR), much as is the case in [ref] .
Assessing a candidate IIA dual to metastable supersymmetry-breaking · Assessing the anti–D2 brane solution · 0.92
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Indeed, similarly to the backreaction of anti–D3 branes on the KS background [ref] , along with other setups in 11–dimensional supergravity [ref] and IIA [ref] , there are nonetheless unaccounted–for singularities in the four–form flux.
Insane Anti-Membranes? · Summary and conclusion · 0.87
Cites it as support 1 paper
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Taken together with the negative results obtained in the large backreaction regime [ref] , our result further adds to the evidence against the existence of a de Sitter multiverse obtained using antibranes.[If one desires, one can even quantify this evidence in a Bayesian approach [ref] .]
Loop corrections to the antibrane potential · Discussion · 0.96
Cites it as background 5 papers
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These worries cumulated in a series of papers [ref] following on [ref] (and [ref] ), which claimed that the supergravity solutions corresponding to anti-branes have diverging NSNS 3-form fluxes [equation] near the anti-branes.
Anti-brane singularities as red herrings · Introduction · 0.86
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The same type of singularity has also been identified in $11$D supergravity [ref] , but is not yet as comprehensively studied.
A note on M2-branes in opposite charge · Introduction · 0.88
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The precise nature of the low energy effective dynamics of this phase is not currently well known, although there have been some attempts to investigate these issues [ref] .
Comments on domain walls in holographic duals of mass deformed conformal field theories · Introduction · 0.80
What it cites · 47 sentences without a confident label
Builds on 1 paper
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In terms of $ρ$, the “standard” radial coordinate[Related to $r$ via $cosh(2 r) ∼ρ^8/3$.], this force comes from a potential proportional to $ρ^-6$, which agrees with a straightforward extension of the brane–antibrane force analysis of [ref] to this system.
Towards Inflation in String Theory · The force on a probe M2 · 0.98
Uses the method or tool of 3 papers
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This technique has been used in several related works [ref] and we consider this to be the technique of choice for deformation problems that depend on just one coordinate.
On the Existence of Meta-stable Vacua in Klebanov-Strassler · Perturbations around a supersymmetric solution · 0.98
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This technique has been used in several related works [ref] and we consider this to be the technique of choice for deformation problems that depend on just one coordinate.
Non-supersymmetric deformations of the dual of a confining gauge theory · Perturbations around a supersymmetric solution · 0.98
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This technique has been used in several related works [ref] and we consider this to be the technique of choice for deformation problems that depend on just one coordinate.
Analytic non-supersymmetric background dual of a confining gauge theory and the corresponding plane wave theory of Hadrons · Perturbations around a supersymmetric solution · 0.98
Uses data or values from 1 paper
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The M2 brane charge varies with the radial coordinate $r$ of a section of the Stenzel space [ref] : [equation] with $ℓ_p$ the Planck length in eleven dimensions, $ℳ_7$ a constant $r$ section of the transverse Stenzel space of volume $Vol( V_5,2 ) = 27 π^4/128$ [ref] .
The Volume of some Non-spherical Horizons and the AdS/CFT Correspondence · BPS M2 branes · 0.88
Compares with 1 paper
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As was found in the analogous IIB scenario [ref] , the force turns out to benefit from remarkable cancellations and is ultimately quite simple.
On the Existence of Meta-stable Vacua in Klebanov-Strassler · The force on a probe M2 · 0.93
Cites as background 15 papers
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The best–known example in this class was proposed by Kachru, Pearson and Verlinde [ref] , who argued that a background with anti–D3 branes at the bottom of the Klebanov–Strassler warped deformed conifold [ref] is dual to a metastable vacuum of the dual supersymmetric gauge theory.
Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory · Introduction and discussion · 0.92
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The best–known example in this class was proposed by Kachru, Pearson and Verlinde [ref] , who argued that a background with anti–D3 branes at the bottom of the Klebanov–Strassler warped deformed conifold [ref] is dual to a metastable vacuum of the dual supersymmetric gauge theory.
The Giant Inflaton · Introduction and discussion · 0.92
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The best–known example in this class was proposed by Kachru, Pearson and Verlinde [ref] , who argued that a background with anti–D3 branes at the bottom of the Klebanov–Strassler warped deformed conifold [ref] is dual to a metastable vacuum of the dual supersymmetric gauge theory.
Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities · Introduction and discussion · 0.92
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