Effective Superpotentials for Compact D5-Brane Calabi-Yau Geometries

Jockers, Hans; Soroush, Masoud

doi:10.1007/s00220-008-0727-7

Cited by 53 publications

(195 citation statements)

References 63 publications

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“…For instance, one may wonder which other D-branes (or NS5-branes) may develop a superpotential of the form (1.1). In particular one may compare our results with the open-closed superpotentials involving D5-branes [43,[48][49][50][51][52][53][54]. Also, it would be interesting to see how the D7-brane Wilson line stabilisation of section 5 is generalised to (p, q)-7-branes in F-theory compactifications.…”

Section: Jhep11(2014)097mentioning

confidence: 88%

On D-brane moduli stabilisation

Marchesano

Regalado

Zoccarato

2014

J. High Energ. Phys.

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Standard results in 4d N = 1 string compactifications assign a number of moduli to each space-time filling D-brane, computed by analysing the D-brane action in a fixed background. We revisit such conventional wisdom and argue that this naive counting of open string moduli is incorrect, in the sense that some of them will be lifted when making dynamical the bulk degrees of freedom. We explicitly discuss this effect for D6-branes wrapping special Lagrangian three-cycles, showing that some geometric and Wilson line moduli are lifted even before taking into account worldsheet instanton effects. From a 4d effective theory viewpoint the moduli lifting is due to an F-term potential, and can be deduced from the superpotentials in the literature. From a microscopic viewpoint the lifting is due to D-brane backreaction effects and flux quantisation in a compact manifold, and provides a mechanism for lifting Wilson line moduli. The latter applies to certain D6-branes and D7-brane Wilson lines, yielding new possibilities to build models of inflation in string theory.

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Section: Jhep11(2014)097mentioning

confidence: 88%

On D-brane moduli stabilisation

Marchesano

Regalado

Zoccarato

2014

J. High Energ. Phys.

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“…There are many other works on periods in heterotic/F -theory duality. For more computational approaches, see for example [49,50,36,51,52,53,54,55,56,57].…”

Section: Thus We Havementioning

confidence: 99%

Weak Coupling, Degeneration and Log Calabi-Yau Spaces

Donagi

Katz

Wijnholt

2013

Pure and Applied Mathematics Quarterly

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Abstract:We establish a new weak coupling limit in F -theory. The new limit may be thought of as the process in which a local model bubbles off from the rest of the Calabi-Yau. The construction comes with a small deformation parameter t such that computations in the local model become exact as t → 0. More generally, we advocate a modular approach where compact Calabi-Yau geometries are obtained by gluing together local pieces (log Calabi-Yau spaces) into a normal crossing variety and smoothing, in analogy with a similar cutting and gluing approach to topological field theories. We further argue for a holographic relation between F -theory on a degenerate Calabi-Yau and a dual theory on its boundary, which fits nicely with the gluing construction.

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“…whereΓâ ∈ H 3 (Y, C) are basis of three chains with non-trivial boundaries ∂Γâ ⊃ C, and Πâ(z,ẑ) are called semi periods, which are the integrals of the holomorphic (3, 0)-form Ω 3,0 (z,ẑ) overΓâ 15,27 .…”

Section: Superpotential and Relative Period A Effective Superpotmentioning

confidence: 99%

Effective superpotentials of Type II D-brane/F-theory on compact complete intersection Calabi–Yau threefolds

Zou

Yang

2016

Mod. Phys. Lett. A

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In this paper, we extend the GKZ-system method to the more general case: compact Complete Intersection Calabi-Yau manifolds (CICY). For several one-deformation modulus compact CICYs with D-branes, the on-shell superpotentials in this paper from the extended GKZ-system method are exactly consistent with published results obtained from other methods. We further compute the off-shell superpotentials of these models. Then we obtain both the on-shell and off-shell superpotentials for several two-deformation moduli compact CICYs with D-branes by using the extended GKZ-system method. The discrete symmetrical groups, Z 2 , Z 3 and Z 4 , of the holomorphic curves wrapped by D-branes play the important roles in computing the superpotentials, in some sense, they are the quantum symmetries of these models.Furthermore, through the mirror symmetry, the Ooguri-Vafa invariants are extracted from the A-model instanton expansion.

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Effective Superpotentials for Compact D5-Brane Calabi-Yau Geometries

Cited by 53 publications

References 63 publications

On D-brane moduli stabilisation

On D-brane moduli stabilisation

Weak Coupling, Degeneration and Log Calabi-Yau Spaces

Effective superpotentials of Type II D-brane/F-theory on compact complete intersection Calabi–Yau threefolds

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