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Non-perturbative and Flux superpotentials for Type I strings on the Z_3 orbifold
High Energy Physics - Theory · Submitted 1 Feb 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Generalizing previous analyses that have focussed on (bi)fundamentals, it is argued that (anti)symmetric representations of the resulting gauge group play a decisive role in generating an ADS-like superpotential in this and related cases.
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The abstract, sentence by sentence
Non-perturbative effects are studied for Type I strings on the Z_3 orbifold with Chan-Paton symmetry broken by Wilson lines. Generalizing previous analyses that have focussed on (bi)fundamentals, it is argued that (anti)symmetric representations of the resulting gauge group play a decisive role in generating an ADS-like superpotential in this and related cases. Non perturbative corrections in the closed string moduli are only allowed if properly dressed with open string fields charged under the anomalous U(1) of the orbifold. A general discussion of instanton effects in SYM and string theories is given. Non-perturbative superpotentials induced by both $ED5$'s and ED1's are analyzed. The superpotential generated by closed string fluxes, viz. Scherk-Schwarz shifts (torsion), R-R 3-form flux as well as non-geometric fluxes is derived. Some preliminary comments on the compatibility of the two kinds of superpotentials and the issue of moduli stabilization are presented.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Non-perturbative effects are studied for Type I strings on the Z_3 orbifold with Chan-Paton symmetry broken by Wilson lines. | contribution 0.76 | 0.83 | 0.07 | asserted 0.97 |
| s1 | Generalizing previous analyses that have focussed on (bi)fundamentals, it is argued that (anti)symmetric representations of the resulting gauge group play a decisive role in generating an ADS-like superpotential in this and related cases. | result 0.49 | 0.71 | 0.59 | asserted 0.62 |
| s2 | Non perturbative corrections in the closed string moduli are only allowed if properly dressed with open string fields charged under the anomalous U(1) of the orbifold. | result 0.97 | 0.57 | 0.12 | asserted 0.95 |
| s3 | A general discussion of instanton effects in SYM and string theories is given. | background 0.74 | 0.65 | 0.03 | asserted 0.83 |
| s4 | Non-perturbative superpotentials induced by both $ED5$'s and ED1's are analyzed. | contribution 0.99 | 0.87 | 0.08 | asserted 0.98 |
| s5 | The superpotential generated by closed string fluxes, viz. | contribution 0.92 | 0.75 | 0.04 | unclear 0.84 |
| s6 | Scherk-Schwarz shifts (torsion), R-R 3-form flux as well as non-geometric fluxes is derived. | result 0.57 | 0.88 | 0.10 | asserted 0.99 |
| s7 | Some preliminary comments on the compatibility of the two kinds of superpotentials and the issue of moduli stabilization are presented. | contribution 0.35 | 0.79 | 0.10 | unclear 0.47 |
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The paper
Original abstract
Non-perturbative effects are studied for Type I strings on the Z_3 orbifold with Chan-Paton symmetry broken by Wilson lines. Generalizing previous analyses that have focussed on (bi)fundamentals, it is argued that (anti)symmetric representations of the resulting gauge group play a decisive role in generating an ADS-like superpotential in this and related cases. Non perturbative corrections in the closed string moduli are only allowed if properly dressed with open string fields charged under the anomalous U(1) of the orbifold. A general discussion of instanton effects in SYM and string theories is given. Non-perturbative superpotentials induced by both $ED5$'s and ED1's are analyzed. The superpotential generated by closed string fluxes, viz. Scherk-Schwarz shifts (torsion), R-R 3-form flux as well as non-geometric fluxes is derived. Some preliminary comments on the compatibility of the two kinds of superpotentials and the issue of moduli stabilization are presented.
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References
How the literature uses it
37 arXiv papers cite this in 60 sentences
Papers citing it · 37 sentences without a confident label
Uses its method or tool 1 paper
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The methods developed in [ref] can be useful to compute non-perturbative effects.
String Cosmology: from the Early Universe to Today · Moduli stabilisation in type I · 0.98
Compares with it 1 paper
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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 2 papers
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Explicit computations for intersecting branes and branes at singularities (quiver gauge theories) have confirmed the above pattern [ref]
Recent Trends in Superstring Phenomenology · Non-perturbative effects · 0.99
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This mechanism has been demonstrated within globally consistent models both on the Type I [ref] and the Type IIA [ref] side.
D-brane Instantons in Type II String Theory · Decoupling of non-chiral exotics and further effects · 0.99
Cites it as background 18 papers
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Recently, also space-time instantons have been studied more concretely [ref] .
Power Towers of String Instantons for N=1 Vacua · Introduction · 0.96
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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
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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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