Dynamical SUSY Breaking in Meta-Stable Vacua

David Shih; Kenneth Intriligator; Nathan Seiberg

REVIEW

Dynamical SUSY Breaking in Meta-Stable Vacua

Kenneth Intriligator, Nathan Seiberg, David Shih

High Energy Physics - Theory · Submitted 23 Feb 2006 · Published version · 37 references

Pith's verdict: A landmark paper that reframes dynamical SUSY breaking around metastable vacua, with a simple, mostly rigorous demonstration in massive SQCD; the central claim holds up even though the Kähler coefficients are order-one unknowns.

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arXiv IDhep-th/0602239 (version 3)

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CitationDavid Shih, Kenneth Intriligator, Nathan Seiberg. "Dynamical SUSY Breaking in Meta-Stable Vacua." arXiv:hep-th/0602239 (2006). https://pith.science/paper/UOHJ2JYX

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Editor's note

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You should read this one even if you think you know where it goes. The move is to stop treating metastable vacua as an embarrassment and instead build models around them. The concrete result is that SU(N_c) SQCD with N_c+1 ≤ N_f < 3N_c/2 and small quark masses has long-lived, calculable non-supersymmetric vacua in the free magnetic dual, sitting alongside the expected supersymmetric vacua from gaugino condensation. That is genuinely new, and it changed the field's agenda.

The paper earns its keep on the technical side. The rank-condition breaking in the magnetic description is simple and robust: the F-term of the meson field cannot vanish because an N_f×N_f identity has rank N_f while the quark bilinear has rank N < N_f. The one-loop effective potential for the pseudo-moduli is computed explicitly, with coefficients (log 4 − 1)(N_f − N)/(8π²) and (log 4 − 1)N/(8π²), both positive because log 4 − 1 > 0. The sign of the curvature is therefore not hostage to unknown coefficients. The supersymmetric vacua are also computed reliably via the nonperturbative superpotential, and the dictionary (5.7) between the magnetic theory and SQCD is clean. The SO/Sp generalizations are a bonus, and the phase distinction in the SO case is a nice observation.

Soft spots are real but proportionate. The Kähler potential near the origin is assumed smooth and canonical up to positive order-one coefficients α and β. The authors flag this themselves, and the stress-test note correctly says the qualitative conclusion does not depend on the precise values, but the quantitative spectrum does. The N_f = N_c case is explicitly presented as a suggestion, not a proof, and the bounce action estimate in Section 7 is a triangle-potential model, good for parametric longevity but not a precise decay rate. Those caveats do not threaten the central existence claim. There is also some honest hedging about higher-order Kähler corrections, but the decoupling argument in Section 4, based on non-analyticity in μ², is convincing: the calculable one-loop effect is |μ²| while microscopic corrections are |μ²ε²|.

Citation pattern is fine. The reliance on Seiberg duality and gaugino condensation is standard and appropriately referenced, including the authors' own earlier work; that is not circular here because the duality is an independent map and the metastable vacuum is derived, not assumed.

Who is it for? Anyone working on dynamical SUSY breaking, model building, or the landscape. It deserves a serious referee: the central result is important, the logic is mostly airtight, and the open questions are clearly demarcated. I would send it to review without hesitation.

Referee report

Significance

If correct, the paper overturns the implicit prejudice that dynamical supersymmetry breaking requires chiral theories with no supersymmetric vacuum; it demonstrates that the simplest vector-like gauge theory with massive flavors has calculable, long-lived non-supersymmetric vacua. The one-loop pseudo-moduli masses in Eq. (2.14) provide an explicit, essentially parameter-free computation up to the positive constant log 4 - 1, and the dictionary in Eq. (5.7) cleanly maps the magnetic analysis back to microscopic SQCD. The parametric lifetime estimate in Eq. (7.4) gives a sharp, quantitative prediction for the decay rate. The main caveat, which the authors explicitly acknowledge, is the dependence of quantitative quantities on the unknown positive order-one Kähler coefficients α and β in Eq. (5.4); the existence of the metastable vacuum follows from the tree-level rank condition and sign-stable one-loop corrections, so this caveat does not undermine the central claim.

Minor objections (6)

[Section 1, Eq. (1.4)] The symbol Λ is used for the ultraviolet cutoff in Eq. (1.4), while in Section 5 the same symbol denotes the electric dynamical scale; these two uses should be distinguished to avoid confusion.
[Section 5, after Eq. (5.4)] The paper explicitly states that quantitative answers depend on the unknown positive order-one coefficients α and β but that the qualitative conclusions do not; I flag this as the main limitation of the calculation, and I agree with the authors' characterization, since the existence argument is anchored in the tree-level rank condition and the sign of the one-loop coefficients in Eq. (2.13).
[Section 5, paragraph around Eq. (5.12)] The possible meta-stability for N_f = N_c is explicitly marked as unproven ("we cannot prove it in this case"); this is appropriately hedged and should remain so in any revised version, since it is not part of the rigorously established range N_c+1 ≤ N_f < 3N_c/2.
[Section 6.2, around Eq. (6.13)] For SO(N_c) with N_f = N_c - 4, the existence argument depends on the unknown sign of the coefficient c and on an assumed nondegenerate Kähler potential; the paper presents this as a motivated argument rather than a proof, and this distinction should be kept explicit.
[Appendix B.2] The SO(N) one-loop computation is presented for even N, while the quoted result in Eq. (6.10) is used for general N; a sentence explaining that the result extends to odd N by the same reduction, or by continuity, would remove a small presentation gap.
[Eq. (5.7)] The sign convention implicit in μ^2 = -m_0 \hatΛ is not spelled out; since the masses m_i are later taken positive, the authors should state that the μ_i are chosen real by phase conventions.

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The paper

The paper claims

Supersymmetric QCD with massive flavors has long-lived, calculable metastable vacua that break supersymmetry dynamically.

The reading

The paper overturns the usual requirement that dynamical supersymmetry breaking must occur in a theory with no supersymmetric vacua. It claims that the simplest vector-like supersymmetric gauge theory, SU($N_c$) QCD with $N_f$ massive flavors in the range $N_c+1 \leq N_f < \frac{3}{2}N_c$, has a metastable vacuum near the origin in which supersymmetry is dynamically broken, in addition to its ordinary supersymmetric vacua. Because the tunneling rate can be made parametrically small by taking the quark masses small, this metastable state is a viable physical possibility. If correct, the result makes broken supersymmetry generic in supersymmetric field theory and opens model building to theories that were previously rejected for having supersymmetric vacua somewhere.

What carries the argument

The rank-condition mechanism: for $N < N_f$, the F-term $F_{\Phi}^{ij} = h(\tilde{\phi}^c_j\,\phi^c_i - \mu^2\delta^{ij})$ cannot be set to zero because $\tilde{\phi}\phi$ has rank $N$ while $\mu^2\delta^{ij}$ has rank $N_f$. This mechanism is embedded in supersymmetric QCD through electric-magnetic duality: the magnetic dual is an infrared-free gauge theory, so the one-loop supertrace formula $V_{\rm eff}^{(1)} = \frac{1}{64\pi^2}\mathrm{STr}\,\mathcal{M}^4\log\mathcal{M}^2$ is reliable and stabilizes all pseudo-moduli. The same rank condition, with different group-theoretic coefficients, drives the analogous metastable constructions for SO($N_c$)/Spin($N_c$) and Sp($N_c$) theories. Nonperturbative gaugino condensation in the magnetic gauge group supplies the superpotential that restores supersymmetry elsewhere in field space, converting the local minimum into a metastable one.

Extended reading notes

Core claim

The central claim is that N=1 SU($N_c$) supersymmetric QCD with small, non-degenerate quark masses has a metastable, dynamically supersymmetry-breaking vacuum near $M = q = \tilde{q} = 0$, coexisting with the $N_c$ supersymmetric vacua required by the index theorem. The argument proceeds through the free-magnetic dual: in the infrared the theory becomes a tree-level supersymmetry-breaking model whose superpotential $W = h\,\mathrm{Tr}\,\phi\Phi\tilde{\phi} - h\mu^2\mathrm{Tr}\,\Phi$ has F-terms that cannot all vanish, because $\tilde{\phi}\phi$ has rank $N = N_f - N_c$ while $\mu^2$ has rank $N_f$. A one-loop effective potential stabilizes the classically flat pseudo-moduli with positive squared masses, while a nonperturbative superpotential from gaugino condensation creates supersymmetric vacua far away in field space, making the broken-supersymmetry vacuum only metastable. The vacuum energy, light spectrum, and lifetime are all computable in the magnetic description up to two order-one coefficients that encode the unknown Kähler metric.

Load-bearing premise

The argument assumes that the unknown Kähler metric of the magnetic dual near the origin is smooth and close to canonical, with positive coefficients of order one; if the true metric made any of the one-loop squared masses negative, the claimed non-supersymmetric minimum would be unstable or absent.

Editorial extensions

If this is right

Model building for dynamical supersymmetry breaking no longer needs to avoid theories with supersymmetric vacua; the simplest non-chiral massive gauge theories automatically provide calculable metastable supersymmetry-breaking sectors.
The lifetime is tunable: with $\epsilon \sim \sqrt{m/\Lambda}$, the bounce action grows like $\epsilon^{-4(N_f-3N)/(N_f-N)}$, so sufficiently small quark masses make the metastable vacuum live longer than the age of the universe.
The same construction gives metastable broken-supersymmetry vacua in SO($N_c$)/Spin($N_c$) and Sp($N_c$) gauge theories; in the Spin($N$) case the supersymmetric and non-supersymmetric vacua sit in different phases, confining versus oblique confining.
The metastable vacuum has a compact moduli space of Goldstone-boson vacua, whose larger configuration space compared with the isolated supersymmetric vacua may favor its population in early-universe cosmology.
These theories sidestep the usual R-symmetry obstruction: the microscopic theory has no exact R-symmetry, while the magnetic dual develops an accidental R-symmetry near the origin, so broken supersymmetry coexists with the absence of an exact R-symmetry.
The pseudo-moduli acquire small masses of order $h^2\mu$ and the Goldstino remains exactly massless, giving a distinctive low-energy spectrum that can be tested if such a sector mediates supersymmetry breaking.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the central claim survives a full determination of the magnetic Kähler metric, the same rank-condition logic can be transplanted to other dual pairs, such as adjoint-matter dualities, N=2 theories slightly broken to N=1, and string-realized quiver gauge theories, yielding a wide class of calculable metastable supersymmetry-breaking vacua.
A lattice or holographic computation of the two unknown order-one coefficients in the Kähler potential would promote the existence proof into quantitative predictions for the pseudo-modulus masses and vacuum energy, which could be searched for in cosmological or collider signatures.
Because the metastable vacuum manifold has nontrivial topology, solitonic strings are expected with lifetimes comparable to the vacuum lifetime; if this sector mediates supersymmetry breaking, those strings could have observable cosmological consequences.
The larger volume of the broken-supersymmetry vacuum moduli space relative to the isolated supersymmetric vacua suggests a possible entropic bias toward initial conditions with broken supersymmetry in the string landscape, though quantifying such a bias requires a vacuum-selection measure that the paper does not provide.

Original abstract

Dynamical supersymmetry breaking in a long-lived meta-stable vacuum is a phenomenologically viable possibility. This relatively unexplored avenue leads to many new models of dynamical supersymmetry breaking. Here, we present a surprisingly simple class of models with meta-stable dynamical supersymmetry breaking: N=1 supersymmetric QCD, with massive flavors. Though these theories are strongly coupled, we definitively demonstrate the existence of meta-stable vacua by using the free-magnetic dual. Model building challenges, such as large flavor symmetries and the absence of an R-symmetry, are easily accommodated in these theories. Their simplicity also suggests that broken supersymmetry is generic in supersymmetric field theory and in the landscape of string vacua.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,911 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.13 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

Dynamical supersymmetry breaking in a long-lived meta-stable vacuum is a phenomenologically viable possibility. This relatively unexplored avenue leads to many new models of dynamical supersymmetry breaking. Here, we present a surprisingly simple class of models with meta-stable dynamical supersymmetry breaking: N=1 supersymmetric QCD, with massive flavors. Though these theories are strongly coupled, we definitively demonstrate the existence of meta-stable vacua by using the free-magnetic dual. Model building challenges, such as large flavor symmetries and the absence of an R-symmetry, are easily accommodated in these theories. Their simplicity also suggests that broken supersymmetry is generic in supersymmetric field theory and in the landscape of string vacua.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Dynamical supersymmetry breaking in a long-lived meta-stable vacuum is a phenomenologically viable possibility.	background 1.00	0.06	0.18	hedged possibility 0.79
s1	This relatively unexplored avenue leads to many new models of dynamical supersymmetry breaking.	gap 0.51	0.09	0.06	asserted 0.99
s2	Here, we present a surprisingly simple class of models with meta-stable dynamical supersymmetry breaking: N=1 supersymmetric QCD, with massive flavors.	contribution 1.00	0.91	0.30	asserted 1.00
s3	Though these theories are strongly coupled, we definitively demonstrate the existence of meta-stable vacua by using the free-magnetic dual.	result 0.44	0.94	0.37	asserted 1.00
s4	Model building challenges, such as large flavor symmetries and the absence of an R-symmetry, are easily accommodated in these theories.	interpretation 0.49	0.48	0.05	asserted 0.95
s5	Their simplicity also suggests that broken supersymmetry is generic in supersymmetric field theory and in the landscape of string vacua.	interpretation 1.00	0.23	0.39	hedged possibility 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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arXiv listing abstract v3

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full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

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S sections
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C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

References

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hep-th 2011-02 conditional novelty 6.0 of 10

A linearized supergravity solution dual to p anti-D3-branes at the tip of the warped deformed conifold is constructed, and its ADM mass matches the probe-brane tension.
Notes on SUSY and R-Symmetry Breaking in Wess-Zumino Models
hep-th 2009-02 accept novelty 6.0 of 10

In any tree-level supersymmetry-breaking Wess-Zumino model with a tachyon-free flat direction, the determinant of the messenger mass matrix is constant along that direction, so leading-order gaugino masses vanish.
Dynamics of Warped Flux Compactifications
hep-th 2008-03 conditional novelty 6.0 of 10

Warp corrections to the four-dimensional effective action of type IIB flux compactifications leave kinetic terms diagonal in a warped KK basis and modify the complex structure Kähler potential relative to prior proposals.
Flavor in Supersymmetry with an Extended R-symmetry
hep-ph 2007-12 conditional novelty 6.0 of 10

Enforcing an extended R-symmetry on weak-scale supersymmetry, which forces Dirac gauginos and forbids A-terms and the mu-term, allows order-one flavor-violating squark soft masses consistent with K-Kbar mixing for squ...
(Extra)Ordinary Gauge Mediation
hep-ph 2007-10 conditional novelty 6.0 of 10

Adding arbitrary R-symmetric messenger mass terms to ordinary gauge mediation yields a three-way classification of models whose soft masses are set by an effective messenger number that can differ between doublets and...
Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions
hep-th 2007-09 conditional novelty 6.0 of 10

Intersecting D4 and D6 branes reduce holomorphic gauge theory data to free chiral fermions on a curve, and the string coupling turns that curve into a noncommutative D-module.
Comments on the non-conformal gauge theories dual to Ypq manifolds
hep-th 2006-03 conditional novelty 6.0 of 10

Runaway behavior (no stable vacuum) is argued to occur for the whole Y(p,q) family of quiver gauge theories, and for some L(a,b,c) examples, via ADS superpotentials lifting baryonic flat directions.
Phenomenological aspects of 10D SYM theory with magnetized extra dimensions
hep-ph 2012-11 conditional novelty 5.5 of 10

A magnetized-torus compactification of 10D SYM yields the MSSM with three generations, and at a hand-tuned moduli point it fits quark, lepton, and neutrino masses while predicting that only the first-torus shape modul...
Implications of Higgs mass for hidden sector SUSY breaking
hep-ph 2024-12 conditional novelty 5.0 of 10

The 125 GeV Higgs mass, under naturalness and landscape priors, favors gravity mediation through hidden sector singlets with large A-terms over charged hidden sector models with loop-suppressed A-terms.
The Peccei-Quinn Symmetry from a Gauged Discrete R Symmetry
hep-ph 2013-08 conditional novelty 5.0 of 10

An anomaly-free gauged discrete R symmetry can shield the Peccei-Quinn symmetry from quantum-gravity breaking, yielding a large family of viable axion models once the MSSM is extended by vector-like quarks and singlet fields.
Strong moduli stabilization and phenomenology
hep-ph 2012-09 conditional novelty 5.0 of 10

Strongly stabilized string moduli with F-term uplifting give universal scalar masses equal to the gravitino mass and anomaly-mediated gauginos, predicting a Higgs mass of 125 to 130 GeV for gravitino masses of 30 to 1000 TeV.
Dark Radiation and Dark Matter in Large Volume Compactifications
hep-ph 2012-08 conditional novelty 5.0 of 10

The overall volume modulus in LARGE volume compactifications decays into ultralight axions at a branching fraction of order 0.1, which can account for the dark radiation suggested by recent cosmological data.
Chaotic inflation and supersymmetry breaking
hep-th 2011-06 conditional novelty 5.0 of 10

Chaotic inflation with an arbitrary potential can be combined with KL-model supersymmetry breaking without destabilizing the volume modulus, and the resulting suppressed reheating avoids the moduli and gravitino problems.
Easy Dirac Gauginos
hep-th 2011-01 conditional novelty 5.0 of 10

A two-site deconstructed gaugino mediation model, UV-completed in an ISS-like Seiberg dual, gives Dirac gauginos with F-term supersymmetry breaking and screened scalar masses.
de Sitter vacua in no-scale supergravities and Calabi-Yau string models
hep-th 2008-04 conditional novelty 5.0 of 10

Stable de Sitter vacua from string moduli require a Kähler-geometry quantity σ to be positive, and large-volume Calabi-Yau compactifications often cannot satisfy this, with K3 fibrations always failing.
Metastable vacua and D-branes at the conifold
hep-th 2007-03 conditional novelty 5.0 of 10

A Z3 orbifold of the conifold with fractional D3 branes yields massive SU(Nc) SQCD with Nf = Nc+1, whose ISS-type metastable vacuum has dynamically generated and stabilized flavor masses, one of them from a stringy instanton.
de Sitter String Vacua from Kahler Uplifting
hep-th 2006-11 conditional novelty 5.0 of 10

The leading α'^3 correction to the Kähler potential, together with gaugino condensation and flux tuning, stabilizes the volume modulus, dilaton, and complex structure moduli in a metastable de Sitter vacuum at volume ...
String phenomenology from the landscape
hep-ph 2026-10 conditional novelty 4.0 of 10

Natural supersymmetry with a 125 GeV Higgs is presented as the emergent end point of a landscape draw to large A-terms halted by charge-and-color-breaking and no-EWSB vetoes.
The State of Supersymmetry after Run I of the LHC
hep-ph 2013-09 accept novelty 3.0 of 10

The LHC's null results falsified supersymmetry as built from naturalness plus parsimony, but relaxing either assumption leaves broad, viable model classes and clear targets for Run II.
Brane Tilings and Their Applications
hep-th 2008-03 accept novelty 3.0 of 10

Brane tilings are not just combinatorial graphs: they are fivebrane diagrams that map toric Calabi-Yau cones to N=1 quiver gauge theories and organize their AdS/CFT and mirror-symmetry applications.
Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
hep-th 2007-03 accept novelty 3.0 of 10

The review argues that non-Abelian flux tubes in N=2 SQCD carry orientational moduli governed by a two-dimensional CP(N-1) model, and that confined monopoles appear as kinks of that worldsheet theory.
Lectures on Supersymmetry Breaking
hep-ph 2007-02 accept novelty 3.0 of 10

Supersymmetry breaking is organized into four worked mechanisms, with the conclusion that realistic and generic breaking requires living in a long-lived metastable vacuum.
A Crash Course in Supersymmetric Field Theory Across Dimensions
hep-th 2026-07 unverdicted novelty 2.0 of 10

Pedagogical crash-course notes on supersymmetric field theory across 2–10 dimensions, organized around recurring structures such as holomorphy, dualities, indices, BPS data, and anomalies.
A comment on effective field theories of flux vacua
hep-th 2018-08 conditional novelty 2.0 of 10

Standard effective field theory justifies adding non-perturbative terms to no-scale supergravities, so the perturbative runaway does not invalidate KKLT-type de Sitter constructions.
Physics of String Flux Compactifications
hep-th 2007-01 accept novelty 2.0 of 10

Fluxes stabilize string moduli and generate an astronomically large discretuum of vacua whose statistical distribution makes the observed cosmological constant generic and turns the supersymmetry breaking scale into a...
The Cosmological Constant and the String Landscape
hep-th 2006-03 accept novelty 2.0 of 10

This paper argues that the cosmological constant is environmental and selected anthropically within the string landscape, a position that remains influential but unproven.
A Supersymmetry Primer
hep-ph 1997-09 accept novelty 1.0 of 10

A self-contained pedagogical introduction to supersymmetry and the MSSM, from Lagrangian construction through soft breaking to collider phenomenology.

How later papers used it

242 later papers cite it

Evidence: substantial. 242 of the citing papers share no author with it, and 50 of those carry a confident label from Pith's citation classifier.

Pith read 40 of the 592 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

11 later papers by other authors are listed below: 7 used its method or tool, 3 used its data or values and 1 compared its own results with it.

Uses its method or tool 7 of 14 papers with this label

Performed its expansion using the integral representation of this paper.

The Effective Kahler Potential, Metastable Vacua and R-Symmetry Breaking in O'Raifeartaigh Models (2010) · 1.00 · paraphrased: the licence does not allow quoting
Evaluated the lifetime of the metastable ISS vacuum in the triangle approximation following this paper.

A light neutralino in hybrid models of supersymmetry breaking (2008) · 1.00 · paraphrased: the licence does not allow quoting
Expanded around a point as done in this paper.

Meta-Stable Brane Configurations with Five NS5-Branes (2007) · 0.99 · paraphrased: the licence does not allow quoting
Expanded these fields around a point as in this paper and arrived at the relevant superpotential up to quadratic order in the fluctuation.

More Meta-Stable Brane Configurations without D6-Branes (2007) · 0.97 · paraphrased: the licence does not allow quoting
Expanded around a point as done in this paper.

Meta-Stable Brane Configuration of Product Gauge Groups (2007) · 0.96 · paraphrased: the licence does not allow quoting
Performed, as in this paper, a calculation of the contributions to the one-loop Coleman-Weinberg potential of the heavy messenger fields.

A Hybrid Higgs (2010) · 0.96 · paraphrased: the licence does not allow quoting
Used the so-called ISS model of this paper to uplift the AdS vacuum in the KL scenario via dynamical supersymmetry breaking.

Dark matter in the KL moduli stabilization scenario with SUSY breaking sector from $\mathcal{N}=1$ SQCD (2018) · 0.94 · paraphrased: the licence does not allow quoting

Uses its data or values 3 papers

Used m_x^2, which has been calculated in this paper, in its analysis of the potential.

Supersymmetry breaking, R-symmetry, and conformal dynamics (2009) · 0.99 · paraphrased: the licence does not allow quoting
Used m_x^2, which has been calculated in this paper, in its analysis of the potential.

Metastable supersymmetry breaking vacua from conformal dynamics (2007) · 0.98 · paraphrased: the licence does not allow quoting
Used the value of b given in this paper in its result for V_CW.

Enhanced symmetry points and metastable supersymmetry breaking along pseudo-runaway directions (2007) · 0.84 · paraphrased: the licence does not allow quoting

Compares with it 1 of 17 papers with this label

Found that its result matches the value given in this paper, which was found using the Coleman-Weinberg potential.

Supersymmetry breaking metastable vacua in runaway quiver gauge theories (2007) · 0.98 · paraphrased: the licence does not allow quoting

How the literature uses it

234 arXiv papers cite this in 579 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 371 sentences without a confident label

Builds on it 13 papers

In this paper, we will discuss how the field theory model of [ref] , that is massive SQCD in the free magnetic range can be obtained on the seven-branes of F-theory.

Dynamically SUSY Breaking SQCD on F-Theory Seven-Branes · Introduction · 0.81
Then it is natural to ask what happens for the dynamical supersymmetry breaking in meta-stable vacua, in the $N=1$ supersymmetric product gauge theories which have mass terms [ref] and quartic terms [ref] for the flavors in the electric superpotential, if one dualizes the whole two gauge groups, not a single gauge group.

Meta-Stable Brane Configurations by Dualizing the Two Gauge Groups · Introduction · 0.87
This model was suggested in [ref] as an R-symmetry breaking deformation of the meta-stable SUSY breaking model of ISS [ref] .

Dark Matter and Pseudo-flat Directions in Weakly Coupled SUSY Breaking Sectors · A Metastable SUSY breaking sector · 0.86

Uses its method or tool 14 papers

For this purpose, we use the so-called ISS model [ref] .

Dark matter in the KL moduli stabilization scenario with SUSY breaking sector from $\mathcal{N}=1$ SQCD · The ISS model · 0.94
The expansion will be performed using the integral representation of ([ref]) [ref] : [equation] This formula is only valid in the limit $Λ→∞$, just as was ([ref]).

The Effective Kahler Potential, Metastable Vacua and R-Symmetry Breaking in O'Raifeartaigh Models · Setup · 1.00
To see such a supersymmetric solution, following [ref] we decompose $ϕ, ϕ̃$ and $Φ$ as [equation] where $Y$, $χ$ and $χ̃$ are $N×N$ matrices, $X$ is an $(N_F-N)×(N_F-N)$ matrix, $Z$, $Z̃$, $ρ$ and $ρ̃$ are $(N_F-N)×N$ matrices.

Metastable supersymmetry breaking vacua from conformal dynamics · 4D conformal model · 0.95

Uses its data or values 3 papers

Hence, we analyze the potential, $V= V_SUSY + m_x^2|x̂|^2$, and we use $m_x^2$, which has been calculated in [ref] , i.e. [equation] Note that $m_x^2$ is suppressed toward the IR region like $f̂$.

Metastable supersymmetry breaking vacua from conformal dynamics · 4D conformal model · 0.98
Hence, we analyze the potential, $V= V_SUSY + m_x^2|x̂|^2$, and we use $m_x^2$, which has been calculated in [ref] , i.e. [equation] Note that $m_x^2$ is suppressed toward the IR region like $f̂$.

Supersymmetry breaking, R-symmetry, and conformal dynamics · 4D conformal model · 0.99
The result is V_CW=N_c bh^3 m |ϕ| |X|^2+…with $b$=$(log4-1)/8π^2 Ñ_c$ [ref] , and `$…$' represent contributions that are unimportant for the present discussion.

Enhanced symmetry points and metastable supersymmetry breaking along pseudo-runaway directions · Metastability near enhanced symmetry points · 0.84

Compares with it 17 papers

The superpotential for this quiver gauge theory is isssu W=h ζ ( Φ) - h ( ΦYY) , which is the same as the ISS superpotential in the IR limit [ref] , with the $SU(N)$ identified as the “color” group and $SU(N+M)$ as the “flavor” symmetry.

On the Geometry of Metastable Supersymmetry Breaking · Dynamical SUSY breaking · 0.91
The leading decay channel can be arranged to be as in [ref] with bounce action [ref] :[ To argue this note that there are only two ways in which the leading decay channel could differ from that found in [ref] .

Metastable Vacua in Warped Throats at Non-Isolated Singularities · Infrared model · 0.83
In the magnetic theory that we consider, the number of colors is $N_f - N_c$ and the number of massive flavors is $N_f$ so the SUSY is broken by the rank condition the SUSY in broken by the rank condition i.e. the F-term equation for the field $Φ̃$ does not have a solution, same as in [ref] .

Metastable Vacua and Complex Deformations · $N =1, SU(N_f) ×SU(N_c)$ Model · 0.88

Cites it as support 5 papers

However, it has been shown in Ref. [ref] that the vacuum near $S=0$ is meta-stable.

Sweet Spot Supersymmetry · UV completion · 0.97
Remarkably, this is precisely what happens in the Intriligator, Seiberg and Shih (ISS) model [ref] .

Direct Mediation, Duality and Unification · Introduction · 0.96
In particular, they discussed the ISS model [ref] , which describes a BREAK sector with a single $U(1)$ gauge field at low energies.

Is Gauge Mediation in the Swampland? · Mediation of SUSY Breaking · 0.97

Cites it as background 103 papers

Recently ISS [ref] have proposed that supersymmetry breaking could occur in a long-lived metastable state.

SQCD Inflation & SUSY Breaking · Conclusions · 0.85
This section closely reviews [ref] and sets our notation.

Direct Mediation and Metastable Supersymmetry Breaking for SO(10) · Seiberg dual pictures for SO(N) SQCD · 0.87
However, we will simplify our model and concentrate on the theory of [ref] reviewed in the previous subsection.

Dynamically SUSY Breaking SQCD on F-Theory Seven-Branes · The Spectrum Localized on the Surfaces · 0.86

Discussion

Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.

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