On classifying the divisor involutions in Calabi-Yau threefolds

Gao, Xin; Shukla, Pramod

doi:10.1007/jhep11(2013)170

Cited by 60 publications

(89 citation statements)

References 41 publications

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“…The reason for the same is the fact that the difference between Eqs. (33) and (24) effectively vanish at this critical point. So, it realizes the same LARGE volume non-susy AdS minimum as given by Eq.…”

Section: Case Ii: κ B11 =mentioning

confidence: 92%

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F-term stabilization of odd axions in LARGE volume scenario

Gao

Shukla

2014

Nuclear Physics B

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Section: Case Ii: κ B11 =mentioning

confidence: 92%

“…κ b11 = 0. This is also common when one considers the holomorphic involution which permutes two "nontrivial identical" shrinkable del-Pezzo surfaces [33].…”

Section: Case Ii: κ B11 =mentioning

confidence: 96%

F-term stabilization of odd axions in LARGE volume scenario

Gao

Shukla

2014

Nuclear Physics B

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“…This is related to the orientifold involution. 21 To consider orientifold invariant configurations, we need to restrict our analysis to minima with u 2 = u 3 and flux choices which have equal fluxes corresponding to these two moduli. 21 It is worthwhile to note that the generators K2 and K3, cf.…”

Section: Dilaton and Complex Structure Moduli Stabilisationmentioning

confidence: 99%

Explicit de Sitter flux vacua for global string models with chiral matter

Cicoli

Klevers

Krippendorf³

et al. 2014

J. High Energ. Phys.

140

222

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Abstract:We address the open question of performing an explicit stabilisation of all closed string moduli (including dilaton, complex structure and Kähler moduli) in fluxed type IIB Calabi-Yau compactifications with chiral matter. Using toric geometry we construct Calabi-Yau manifolds with del Pezzo singularities. D-branes located at such singularities can support the Standard Model gauge group and matter content or some close extensions. In order to control complex structure moduli stabilisation we consider CalabiYau manifolds which exhibit a discrete symmetry that reduces the effective number of complex structure moduli. We calculate the corresponding periods in the symplectic basis of invariant three-cycles and find explicit flux vacua for concrete examples. We compute the values of the flux superpotential and the string coupling at these vacua. Starting from these explicit complex structure solutions, we obtain AdS and dS minima where the Kähler moduli are stabilised by a mixture of D-terms, non-perturbative and perturbative α ′ corrections as in the LARGE Volume Scenario. In the considered example the visible sector lives at a dP 6 singularity which can be higgsed to the phenomenologically interesting class of models at the dP 3 singularity.

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“…Note that a K3-fibred CY 3-fold with h 1,1 = 3 and volume given by (2.27) with c b = 0 has been presented in [60].…”

Section: Jhep11(2016)182mentioning

confidence: 99%

Global embedding of fibre inflation models

Cicoli

Muia

Shukla

2016

J. High Energ. Phys.

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We present concrete embeddings of fibre inflation models in globally consistent type IIB Calabi-Yau orientifolds with closed string moduli stabilisation. After performing a systematic search through the existing list of toric Calabi-Yau manifolds, we find several examples that reproduce the minimal setup to embed fibre inflation models. This involves Calabi-Yau manifolds with h 1,1 = 3 which are K3 fibrations over a P 1 base with an additional shrinkable rigid divisor. We then provide different consistent choices of the underlying brane set-up which generate a non-perturbative superpotential suitable for moduli stabilisation and string loop corrections with the correct form to drive inflation. For each Calabi-Yau orientifold setting, we also compute the effect of higher derivative contributions and study their influence on the inflationary dynamics.

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On classifying the divisor involutions in Calabi-Yau threefolds

Cited by 60 publications

References 41 publications

F-term stabilization of odd axions in LARGE volume scenario

F-term stabilization of odd axions in LARGE volume scenario

Explicit de Sitter flux vacua for global string models with chiral matter

Global embedding of fibre inflation models

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