A Database of Calabi-Yau Orientifolds and the Size of D3-Tadpoles

Abstract

The classification of 4D reflexive polytopes by Kreuzer and Skarke allows for a systematic construction of Calabi-Yau hypersurfaces as fine, regular, star triangulations (FRSTs). Until now, the vastness of this geometric landscape remains largely unexplored. In this paper, we construct Calabi-Yau orientifolds from holomorphic reflection involutions of such hypersurfaces with Hodge numbers $h^{1,1}\le 12$. In particular, we compute orientifold configurations for all favourable FRSTs for $h^{1,1}\le 7$, while randomly sampling triangulations for each pair of Hodge numbers up to $h^{1,1}=12$. We find explicit string compactifications on these orientifolded Calabi-Yaus for which the D3-charge contribution coming from O$p$-planes grows linearly with the number of complex structure and Kähler moduli. We further consider non-local D7-tadpole cancellation through Whitney branes. We argue that this leads to a significant enhancement of the total D3-tadpole as compared to conventional $\mathrm{SO}(8)$ stacks with $(4+4)$ D7-branes on top of O7-planes. In particular, before turning-on worldvolume fluxes, we find that the largest D3-tadpole in this class occurs for Calabi-Yau threefolds with $(h_{+}^{1,1},h_{-}^{1,2})=(11,491)$ with D3-brane charges $|Q_{\text{D3}}|=504$ for the local D7 case and $|Q_{\text{D3}}|=6,664$ for the non-local Whitney branes case, which appears to be large enough to cancel tadpoles and allow fluxes to stabilise all complex structure moduli. Our data is publicly available under http://github.com/AndreasSchachner/CY_Orientifold_database .

arXiv comment30 pages plus appendices, 5 figures

References in corpus (51)

• Hierarchies from Fluxes in String Compactifications
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• M Theory, Orientifolds and G-Flux
• Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking
• Mirror Symmetry for Two Parameter Models -- II
• Building a Better Racetrack
• D-brane Deconstructions in IIB Orientifolds
• F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
• On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
• G-flux in F-theory and algebraic cycles
• De Sitter from T-branes
• Cohomology of Line Bundles: A Computational Algorithm
• Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Superradiance in String Theory
• Building an explicit de Sitter
• The Tadpole Problem
• Moduli Stabilisation for Chiral Global Models
• Small Cosmological Constants in String Theory
• A Geometrical Upper Bound on the Inflaton Range
• On the Hodge structure of elliptically fibered Calabi-Yau threefolds
• D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak Coupling Limit
• Global String Embeddings for the Nilpotent Goldstino
• A Systematic Approach to Kähler Moduli Stabilisation
• Four-modulus "Swiss Cheese" chiral models
• Calabi-Yau 4-folds and toric fibrations
• Genetic Algorithms and the Search for Viable String Vacua
• Searching the Landscape of Flux Vacua with Genetic Algorithms
• Non-Higgsable clusters for 4D F-theory models
• Global Orientifolded Quivers with Inflation
• D-Branes and Bundles on Elliptic Fibrations
• T-branes as branes within branes
• The Standard Model Quiver in de Sitter String Compactifications
• The LVS Parametric Tadpole Constraint
• On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario
• Accelerated Universes from type IIA Compactifications
• Heavy Tails in Calabi-Yau Moduli Spaces
• A landscape of orientifold vacua
• Toric Elliptic Fibrations and F-Theory Compactifications
• Computational Tools for Cohomology of Toric Varieties
• $G_4$ Flux, Algebraic Cycles and Complex Structure Moduli Stabilization
• Explore and Exploit with Heterotic Line Bundle Models
• Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape
• Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers
• On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds
• D-brane instantons on non-Spin cycles
• Applying machine learning to the Calabi-Yau orientifolds with string vacua
• Thraxions: Towards Full String Models
• New Large Volume Solutions
• Fibration structure in toric hypersurface Calabi-Yau threefolds
• Mirror symmetry and elliptic Calabi-Yau manifolds