Non-perturbative SQCD Superpotentials from String Instantons

Dieter Lust; Erik Plauschinn; Maximilian Schmidt-Sommerfeld; Nikolas Akerblom; Ralph Blumenhagen

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Non-perturbative SQCD Superpotentials from String Instantons

Nikolas Akerblom, Ralph Blumenhagen, Dieter Lust, Erik Plauschinn, Maximilian Schmidt-Sommerfeld

High Energy Physics - Theory · Submitted 13 Dec 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The Affleck-Dine-Seiberg instanton generated superpotential for SQCD with Nf=Nc-1 flavours is explicitly derived from a local model of engineered intersecting D6-branes with a single E2-instanton.

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arXiv IDhep-th/0612132 (version 3)

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CitationDieter Lust, Erik Plauschinn, Maximilian Schmidt-Sommerfeld, Nikolas Akerblom, Ralph Blumenhagen. "Non-perturbative SQCD Superpotentials from String Instantons." arXiv:hep-th/0612132 (2006). https://pith.science/paper/KM7P7EYP

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.17 · mentions code or data availability 0.02.

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The Affleck-Dine-Seiberg instanton generated superpotential for SQCD with Nf=Nc-1 flavours is explicitly derived from a local model of engineered intersecting D6-branes with a single E2-instanton. This computation extends also to symplectic gauge groups with Nf=Nc flavours.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The Affleck-Dine-Seiberg instanton generated superpotential for SQCD with Nf=Nc-1 flavours is explicitly derived from a local model of engineered intersecting D6-branes with a single E2-instanton.	result 0.61	0.91	0.82	asserted 1.00
s1	This computation extends also to symplectic gauge groups with Nf=Nc flavours.	result 0.72	0.81	0.15	asserted 1.00

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

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The paper

Original abstract

The Affleck-Dine-Seiberg instanton generated superpotential for SQCD with Nf=Nc-1 flavours is explicitly derived from a local model of engineered intersecting D6-branes with a single E2-instanton. This computation extends also to symplectic gauge groups with Nf=Nc flavours.

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References

Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Dimers and Orientifolds
hep-th 2007-07 accept novelty 7.0 of 10

A small set of rules on dimer diagrams determines the gauge theory on D3-branes at an orientifold of any toric Calabi-Yau singularity, recovering known orientifold models and generating new ones.
Stringy Instantons at Orbifold Singularities
hep-th 2007-04 accept novelty 7.0 of 10

Orientifold projections remove extra neutral fermion zero-modes from D-brane instantons at orbifold singularities, turning otherwise vanishing exotic contributions into new superpotential and prepotential terms.
Testing F-theory GUTs with the Axiverse
hep-th 2026-06 unverdicted novelty 6.0 of 10

In F-theory GUTs, non-universal ALPs induced by hypercharge flux satisfy g_aγ/m_a well below the QCD axion prediction when gauge couplings unify near the string scale.
Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
hep-th 2007-11 conditional novelty 6.0 of 10

A chiral D-brane sector cannot be added after moduli are stabilised, because it induces a D-term potential and charged instanton zero modes; only combined F- and D-term stabilisation works, demonstrated on one swiss-c...
Non-perturbative Yukawa Couplings from String Instantons
hep-th 2007-07 conditional novelty 6.0 of 10

E2-brane instantons with the right zero-mode structure can generate the perturbatively forbidden 10 10 5_H Yukawa coupling in SU(5) intersecting D6-brane models, and can generate mass terms for exotic matter in a glob...

Show 4 more citing papers

Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra
hep-th 2007-04 conditional novelty 6.0 of 10

Among 391 MSSM-like Gepner orientifolds with massive B-L, 32 admit Sp(2) instantons with the correct charged zero-mode content for neutrino Majorana masses, though all carry extra uncharged zero modes.
D-brane Instantons on the T^6/Z_3 orientifold
hep-th 2007-04 conditional novelty 6.0 of 10

A detailed string-amplitude computation shows that only the U(4) and Sp(6)xU(2) gauge theories at the Z_3 orientifold singularity get ADS superpotentials from gauge instantons, while ED3 stringy instantons generate Ma...
Jumping Through Loops: On Soft Terms from Large Volume Compactifications
hep-th 2007-04 conditional novelty 6.0 of 10

String loop corrections to the Kähler potential leave the large volume scenario's minimum and its gaugino mass prediction intact, with corrections appearing only at subleading order in the volume expansion.
D-brane Instantons in Type II String Theory
hep-th 2009-02 accept novelty 2.0 of 10

D-brane instantons provide a calculable, zero-mode-driven source of non-perturbative superpotential and other holomorphic couplings in N=1 Type II orientifold compactifications.

How later papers used it

47 later papers cite it

Evidence: substantial. 34 of the citing papers share no author with it, and 6 of those carry a confident label from Pith's citation classifier.

Pith read 10 of the 98 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

1 later paper by other authors is listed below: 1 built on it.

Builds on it 1 of 4 papers with this label

Presented a slight generalization of this paper's discussion, showing in concrete terms how superpotential terms can arise in this case.

Instantons and SUSY breaking in F-theory (2008) · 0.98 · paraphrased: the licence does not allow quoting

How the literature uses it

47 arXiv papers cite this in 98 sentences

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Papers citing it · 67 sentences without a confident label

Builds on it 4 papers

In a recent paper [ref] we have extended this procedure by compactifying six dimensions on $(𝒯_2^(1)×𝒯_2^(2))/ℤ_2 ×𝒯_2^(3)$ and by including the contribution of the mixed annuli diagrams, as advocated in Refs. [ref] .

Instanton effects in N=1 brane models and the Kahler metric of twisted matter · Introduction · 0.95
Along these lines, we present a slight generalization of the discussion of [ref] in subsection [ref] which shows in quite concrete terms how superpotential terms can arise in this case.

Instantons and SUSY breaking in F-theory · D3-Instantons – Generalities · 0.98
* We generalize the analysis of [ref] (see also [ref] ) to show that for any compactification of type II string theory on Calabi-Yau orientifolds preserving $=1$ supersymmetry, the partition functions $Z_A$ and $Z_M$ associated with D-instanton corrections are equal to the threshold correction to the gauge coupling when we replace the D-instanton by a space-filling D-brane.

D-instanton Induced Superpotential · Introduction · 1.00

Uses its method or tool 1 paper

In our case, [equation] which can be computed via conformal field theory techniques (see also [ref] ).

E2 Instanton Effects and Higgs Physics In Intersecting Brane Models · Non-perturbative Higgs physics from $E2$ instanton · 0.95

Compares with it 2 papers

The mixed amplitude ([ref]) agrees with the quadratic term in the gauge field $f$ of the annulus amplitude $A_9a;9b(f)$ computed in Ref. [ref] to evaluate the gauge threshold corrections in intersecting brane models (see also Refs. [ref] ).

Instanton effects in N=1 brane models and the Kahler metric of twisted matter · The mixed annuli · 0.95
This is in contrast with the recently found instanton generated superpotentials in orientifold braneworlds [ref] coming from $λ$-like fermionic zero modes appearing in the two-dimensional ED1-gauge theory only in the odd-spin structure.

Unoriented D-brane Instantons vs Heterotic worldsheet Instantons · $T^4$-case · 0.96

Cites it as support 4 papers

The interpretation of the D(–1)'s as a classical configuration of action ([ref]) is further confirmed by the relation between instantonic one-loop amplitudes and gauge threshold corrections to the quadratic action, as originally found in [ref] .

Classical solutions for exotic instantons? · The D7/D(–1) system in Type I$^'$ · 0.99
This correspondence was also explicitly checked for some cases in [ref] .

D-instanton Induced Superpotential · Holomorphy of the superpotential · 0.99
When computing the latter, it turns out [ref] that they can only reproduce the absolute value of the Pfaffian/determinant factor, but not the phase.

One-loop and D-instanton corrections to the effective action of open string models · Corrections to the superpotential · 0.97

Cites it as background 20 papers

Recently, also space-time instantons have been studied more concretely [ref] .

Power Towers of String Instantons for N=1 Vacua · Introduction · 0.96
In fact, during the last year there has been some progress towards a better understanding of non-perturbative effects in $N=1$ supersymmetric four-dimensional string compactifications on Calabi-Yau orientifolds ( [ref] and further developments in [ref] ; for closely related earlier work see [ref] ).

Non-perturbative Yukawa Couplings from String Instantons · Introduction · 0.83
Various applications of these novel non-perturbative effects in different branches of the string landscape have appeared [ref] [For two reviews on the subject of novel stringy instanton effects see [ref] .

Stringy Instantons and Yukawa Couplings in MSSM-like Orientifold Models · Introduction · 0.89

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