All-loop gauge couplings from anomaly cancellation in string effective theories

Derendinger, Jean-Pierre; Ferrara, S.; Kounnas, Costas; Zwirner, Fabio

doi:10.1016/0370-2693(91)90092-5

Cited by 118 publications

(180 citation statements)

References 49 publications

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“…The analysis has been mainly con ned to (2,2) orbifold vacua with G = E 8 G 0 by a number of authors [62]; [50] [53]; [63] with string and eld theory calculations, exploiting the relation between renormalization of gauge couplings and anomalies in N=1 supersymmetric gauge theories [51]; [52]; [65] [67] .…”

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

“…The overall result is summarized by a single (super eld) formula which is manifestly modular invariant and contains both the local and non-local term [70]; [51] [53] . (a refer to di erent types of moduli) and we see that the non-holomor city of g 2 A eff ( ; ) is related to the non-local super eld in V-3 coming from the triangular graph when massless particles circulate.…”

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

“…(a refer to di erent types of moduli) and we see that the non-holomor city of g 2 A eff ( ; ) is related to the non-local super eld in V-3 coming from the triangular graph when massless particles circulate. The term containing a is local since D 2 D 2 a = a and in fact can be interpreted as a local counterterm [51] [53] :…”

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

“…the Green-Schwarz mechanism [71] [73] . In the S eld formation this means that S acquires, through one-loop e ects, an anomalous transformation under target-space duality transformations [51] :…”

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

“…V-7 gives a universal contribution to the cancellation of all anomaly diagrams, equal for all gauge group factors, but model dependent. Actually in certain orbifolds, like the Z 3 and Z 7 orbifolds, all anomalies coincide and the contribution of the massive states a ( ) is completely absent [51] [53] . When a G.S.…”

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

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Geometry and Quantum Symmetries of Superstring Vacua

Ferrara

1992

Physics at the Highest Energy and Luminosity

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We report on some recent progress which has been made in the understanding of general features of superstring compacti cations. The following aspects are discussed: special geometry of the moduli space of (2,2) vacua, target-space duality symmetries, di erential equations for the periods of holomorphic three-forms, and higher loop (genus) string corrections to the tree-level e ective action through target-space modular anomaly cancellations.

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Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

Section: Picard-fuchs Equations and Determination Of The Periodsmentioning

confidence: 99%

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Geometry and Quantum Symmetries of Superstring Vacua

Ferrara

1992

Physics at the Highest Energy and Luminosity

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D‐brane instantons in 4D supersymmetric string vacua

Akerblom

Blumenhagen²,

Lüst

et al. 2008

Fortschritte der Physik

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We review some aspects of D-instantons in intersecting D-brane models. In particular, we present applications of the recently proposed instanton calculus to computations of charged matter superpotential couplings and corrections to the gauge kinetic function in the low energy effective action of type IIA orientifolds. As an interesting byway, we also discuss how one-loop corrections to the gauge kinetic function can be deduced from gauge threshold corrections in the type IIA setting.

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D‐instantons and effective couplings in intersecting D‐brane models

Akerblom

2008

Fortschritte der Physik

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This article is basically a rendition of the author's PhD thesis. We are concerned with two aspects of intersecting D6‐brane models: We treat some of the effects that are induced by E2‐instantons and we consider one‐loop corrections to the gauge kinetic functions in the low‐energy effective field theory. Owing to the genesis of this article, we begin in Sect. 1 with a general introduction covering the question why to consider string theory as a candidate theory of nature. After that, in Sect. 2, we go over some topics related to field theory instantons and finally discuss the instanton generated superpotential in supersymmetric QCD (SQCD), the so‐called Affleck–Dine–Seiberg (ADS) superpotential. In Sect. 3 we then proceed to reproduce the ADS superpotential in an intersecting D6‐brane realization of SQCD as the effect of a single E2‐instanton. In order to do so, we first explicate the necessary formalism for calculating the E2‐instanton contribution to the superpotential, then construct a (local) intersecting D6‐brane realization of SQCD, and finally show that the formalism indeed leads to the Affleck–Dine–Seiberg superpotential. In Sect. 4 we consider one‐loop corrections to the gauge kinetic functions. These one‐loop corrections are related quite intricately to gauge threshold corrections which we compute for intersecting D6‐brane models on the ℤ2 × ℤ2 toroidal orbifold. An analysis of the formulas for calculating the E2‐instanton contribution to the superpotential raises the question whether this contribution is a holomorphic quantity. In Sect. 5 we take up this question showing that it is indeed holomorphic. In addition, we discuss under which circumstances one can expect E2‐instanton corrections to the gauge kinetic functions.

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All-loop gauge couplings from anomaly cancellation in string effective theories

Cited by 118 publications

References 49 publications

Geometry and Quantum Symmetries of Superstring Vacua

Geometry and Quantum Symmetries of Superstring Vacua

D‐brane instantons in 4D supersymmetric string vacua

D‐instantons and effective couplings in intersecting D‐brane models

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