The Standard Model quiver in de Sitter string compactifications

Cicoli, Michele; García-Etxebarria, Iñaki; Quevedo, Fernando; Schachner, Andreas; Shukla, Pramod; Valandro, Roberto

doi:10.1007/jhep08(2021)109

Cited by 39 publications

(60 citation statements)

References 129 publications

(327 reference statements)

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“…Motivated by this observation and the existence of such symmetries quite frequently as seen in [83] we expect that such EFFV will be more naturally found in abundance in the CICY geometries, and we plan to present a systematic analysis of those in the near future. Given the fact that the percentage of Swiss-cheese geometries decreases [84,85] while the number of K3-fibered geometries increases [86] with increasing the h 1,1 of the CY in the Kreuzer-Skarke database, our observations about finding more PFFV configurations for K3-fibered geometries is quite encouraging. In fact, it opens a new window of opportunities for using a lot of CY geometries which initially appeared to be of less use for model builders, specially within LVS framework.…”

Section: Discussionmentioning

confidence: 56%

Systematics of perturbatively flat flux vacua

Carta,

Mininno,

Shukla

2021

Preprint

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In this article, we present a systematic analysis of the so-called perturbatively flat flux vacua (PFFV) for the mirror Calabi-Yau (CY) 3-folds ( X3 ) with h 1,1 ( X3 ) = 2 arising from the Kreuzer-Skarke database of the four-dimensional reflexive polytopes. We consider the divisor topologies of the CY 3-folds for classifying the subsequent models into three categories; (i) models with the so-called Swiss-cheese structure, (ii) models with the K3-fibered structure, and (iii) the remaining ones which we call as models of "Hybrid type". In our detailed analysis of PFFV we find that for a given fixed value of the D3 tadpole charge N flux , the K3-fibered mirror CY 3-folds have significantly larger number of such PFFV as compared to those which have Swiss-cheese structure, while the Hybrid type models have a mixed behavior. We also compute the Gopakumar-Vafa invariants necessary for fixing the flat valley in the weak string-coupling and large complex-structure regime by using the non-perturbative effects, which subsequently reduce the number of physically trustworthy vacua quite significantly. Moreover, we find that there are some examples in which the PFFV are protected even at the leading orders of the non-perturbative effects due to the some underlying symmetry in the CY geometry, which we call as "Exponentially flat flux vacua". We also present a new class of PFFV using the S-duality arguments.

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Section: Discussionmentioning

confidence: 56%

Systematics of perturbatively flat flux vacua

Carta,

Mininno,

Shukla

2021

Preprint

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“…Given the fact that the percentage of Swiss-cheese geometries decreases [86,87] while the percentage of the K3-fibered geometries increases with increasing the h 1,1 of the CY in the Kreuzer-Skarke database [88], our observations about finding more PFFV configurations for K3-fibered geometries are quite encouraging. In fact, it opens a new window of opportunities for using a lot of CY geometries which initially appeared to be of less use for model builders, JHEP02(2022)205 specially within LVS framework.…”

Section: Discussionmentioning

confidence: 57%

Systematics of perturbatively flat flux vacua

Carta

Mininno

Shukla

2022

J. High Energ. Phys.

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In this article, we present a systematic analysis of the so-called perturbatively flat flux vacua (PFFV) for the mirror Calabi-Yau (CY) 3-folds ($$ {\overset{\sim }{X}}_3 $$ X ~ 3 ) with h1,1($$ {\overset{\sim }{X}}_3 $$ X ~ 3 ) = 2 arising from the Kreuzer-Skarke database of the four-dimensional reflexive polytopes. We consider the divisor topologies of the CY 3-folds for classifying the subsequent models into three categories; (i) models with the so-called Swiss-cheese structure, (ii) models with the K3-fibered structure, and (iii) the remaining ones which we call as models of “Hybrid type”. In our detailed analysis of PFFV we find that for a given fixed value of the D3 tadpole charge Nflux, the K3-fibered mirror CY 3-folds have significantly larger number of such PFFV as compared to those which have Swiss-cheese structure, while the Hybrid type models have a mixed behavior. We also compute the Gopakumar-Vafa invariants necessary for fixing the flat valley in the weak string-coupling and large complex-structure regime by using the non-perturbative effects, which subsequently reduce the number of physically trustworthy vacua quite significantly. Moreover, we find that there are some examples in which the PFFV are protected even at the leading orders of the non-perturbative effects due to the some underlying symmetry in the CY geometry, which we call as “Exponentially flat flux vacua”. We also present a new class of PFFV using the S-duality arguments.

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“…Finally, let us stress again that we studied mostly AdS 4 vacua ignoring additional uplifting sources, D-terms as well as open string moduli. Clearly, these effects are critical for the construction of fully explicit models including Standard Model sectors [122] and de Sitter vacua from e.g. T-brane backgrounds [123].…”

Section: Discussionmentioning

confidence: 99%

Systematics of type IIB moduli stabilisation with odd axions

Cicoli,

Schachner,

Shukla

2021

Preprint

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Moduli stabilisation in superstring compactifications on Calabi-Yau orientifolds remains a key challenge in the search for realistic string vacua. In particular, odd moduli arising from the reduction of 2-forms (B 2 , C 2 ) in type IIB are largely unexplored despite their relevance for inflationary model building. This article provides novel insights into the general structure of 4D N = 1 F -term scalar potentials at higher orders in the α and g s expansion for arbitrary Hodge numbers. We systematically examine superpotential contributions with distinct moduli dependences which are induced by fluxes or non-perturbative effects. Initially, we prove the existence of a no-scale structure for odd moduli in the presence of (α ) 3 corrections to the Kähler potential. By studying a partially SL(2, Z)-completed form of the Kähler potential, we derive the exact no-scale breaking effects at the closed string 1-loop and non-perturbative D-instanton level. These observations allow us to present rigorous expressions for the F -term scalar potential applicable to arbitrary numbers of moduli in type IIB Calabi-Yau orientifold compactifications. Finally, we compute the Hessian for odd moduli and discuss potential phenomenological implications.

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The Standard Model quiver in de Sitter string compactifications

Cited by 39 publications

References 129 publications

Systematics of perturbatively flat flux vacua

Systematics of perturbatively flat flux vacua

Systematics of perturbatively flat flux vacua

Systematics of type IIB moduli stabilisation with odd axions

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