D‐brane instantons in 4D supersymmetric string vacua

Akerblom, Nikolas; Blumenhagen, Ralph; Lüst, Dieter; Schmidt-Sommerfeld, Maximilian

doi:10.1002/prop.200710501

Cited by 15 publications

(23 citation statements)

References 56 publications

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“…It is well known that the topological string one-loop amplitudes are related to threshold corrections for gauge and gravitational couplings of an associated superstring compactification on the same Calabi-Yau manifold [2,77]. The one-loop amplitudes also enter the D-instanton-induced superpotentials in type I/II compactifications [78][79][80][81], see [82] for a recent review. The holomorphic anomaly equation should now allow a principled computation of these couplings for a general Calabi-Yau.…”

Section: Discussionmentioning

confidence: 99%

Evidence for tadpole cancelation in the topological string

Walcher

2009

Communications in Number Theory and Physics

120

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We study the topological string on compact Calabi-Yau threefolds in the presence of orientifolds and D-branes. In examples, we find that the total topological string amplitude admits a Bogomol'nyiPrasad-Sommerfield (BPS) expansion only if the topological charge of the D-brane configuration is equal to that of the orientifold plane. We interpret this as a manifestation of a general tadpole cancellation condition in the topological string that is necessary for decoupling A-and B-model in loop amplitudes. Our calculations in the A-model involve an adapted version of existing localization techniques, and give predictions for the real enumerative geometry of higher genus curves in Calabi-Yau manifolds. In the B-model, we introduce an extension of the holomorphic anomaly equation to unoriented strings.

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Section: Discussionmentioning

confidence: 99%

Evidence for tadpole cancelation in the topological string

Walcher

2009

Communications in Number Theory and Physics

120

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“…The techniques developed here may be extended to the case of Euclidean D3-branes wrapping the corresponding 4-cycle. This could be interesting to study instanton induced effective couplings in the four-dimensional effective action (see [37] for a recent review on these techniques).…”

Section: Jhep09(2008)104mentioning

confidence: 99%

Wave functions and Yukawa couplings in local string compactifications

Conlon

Maharana²,

Quevedo³

2008

J. High Energy Phys.

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We consider local models of magnetised D7 branes in IIB string compactifications, focussing on cases where an explicit metric can be written for the local 4-cycle. The presence of an explicit metric allows analytic expressions for the gauge bundle and for the chiral matter wavefunctions through solving the Dirac and Laplace equations. The triple overlap of the normalised matter wavefunctions generates the physical Yukawa couplings. Our main examples are the cases of D7 branes on P 1 × P 1 and P 2 . We consider both supersymmetric and non-supersymmetric gauge backgrounds and both Abelian and non-Abelian gauge bundles. We briefly outline potential phenomenological applications of our results.

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“…The type II theories are not the only supersymmetric string theories in existence. There is also a theory called type I and two so-called heterotic string theories with gauge groups E 8 × E 8 and SO (32). The heterotic theories are theories of closed strings.…”

Section: String Theorymentioning

confidence: 99%

“…The heterotic theories are theories of closed strings. 8 There are thus five superstring theories but, starting in the mid 1990s, evidence has mounted that these five theories are connected by an intricate web of dualities. This, in turn, has led to speculations that they are all just manifestations of one single theory.…”

Section: String Theorymentioning

confidence: 99%

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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D‐brane instantons in 4D supersymmetric string vacua

Cited by 15 publications

References 56 publications

Evidence for tadpole cancelation in the topological string

Evidence for tadpole cancelation in the topological string

Wave functions and Yukawa couplings in local string compactifications

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

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