Orientifold Calabi-Yau threefolds with divisor involutions and string landscape

@article{Altman2022OrientifoldCT,
  title={Orientifold Calabi-Yau threefolds with divisor involutions and string landscape},
  author={Ross Altman and Jonathan Carifio and Xin Gao and Brent Nelson},
  journal={Journal of High Energy Physics},
  year={2022}
}
Abstract We establish an orientifold Calabi-Yau threefold database for h1,1(X) ≤ 6 by considering non-trivial ℤ2 divisor exchange involutions, using a toric Calabi-Yau database (www.rossealtman.com/tcy). We first determine the topology for each individual divisor (Hodge diamond), then identify and classify the proper involutions which are globally consistent across all disjoint phases of the Kähler cone for each unique geometry. Each of the proper involutions will result in an orientifold… 
Classifying divisor topologies for string phenomenology
In this article we present a pheno-inspired classification for the divisor topologies of the favorable Calabi Yau (CY) threefolds with 1 ≤ h 1 , 1 ( CY ) ≤ 5 arising from the four-dimensional reflexive
Applying machine learning to the Calabi-Yau orientifolds with string vacua
We use machine learning technique to search the polytope which can result in an orientifold Calabi-Yau hypersurface and the “naive Type IIB string vacua”. We show that neural networks can be trained
From the String Landscape to the Mathematical Landscape: a Machine-Learning Outlook
TLDR
Some experiments on how AI helps with conjecture formulation, pattern recognition are highlighted, with this paradigm as a model for human intuition complementary to and in contrast with the more formalistic approach of automated theorem proving.
Topological Constraints in the LARGE-Volume Scenario
We elaborate on recent results regarding the self-consistency of de Sitter vacua in the LARGE-volume scenario of type IIB string theory. In particular, we analyze to what extent the control over

References

SHOWING 1-10 OF 100 REFERENCES
On classifying the divisor involutions in Calabi-Yau threefolds
A bstractIn order to support the odd moduli in models of (type IIB) string compactification, we classify the Calabi-Yau threefolds with h1,1 ≤ 4 which exhibit pairs of identical divisors, with
Instanton superpotentials, Calabi-Yau geometry, and fibrations
In this paper we explore contributions to non-perturbative superpotentials arising from instantons wrapping effective divisors in smooth Calabi-Yau four-folds. We concentrate on the case of manifolds
Fibrations in CICY threefolds
A bstractIn this work we systematically enumerate genus one fibrations in the class of 7, 890 Calabi-Yau manifolds defined as complete intersections in products of projective spaces, the so-called
Systematics of axion inflation in Calabi-Yau hypersurfaces
A bstractWe initiate a comprehensive survey of axion inflation in compactifications of type IIB string theory on Calabi-Yau hypersurfaces in toric varieties. For every threefold with h1,1 ≤ 4 in the
Moduli stabilisation for chiral global models
A bstractWe combine moduli stabilisation and (chiral) model building in a fully con-sistent global set-up in Type IIB/F-theory. We consider compactifications on Calabi-Yau orientifolds which admit an
Discrete Symmetries of Calabi–Yau Hypersurfaces in Toric Four-Folds
We analyze freely-acting discrete symmetries of Calabi–Yau three-folds defined as hypersurfaces in ambient toric four-folds. An algorithm that allows the systematic classification of such symmetries
Comments on Conifolds
Calabi–Yau generalized complete intersections and aspects of cohomology of sheaves
We consider generalized complete intersection manifolds in the product space of projective spaces, and work out useful aspects pertaining to the cohomology of sheaves over them. First, we present and
...
1
2
3
4
5
...