# 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…

## 4 Citations

Classifying divisor topologies for string phenomenology

- Mathematics
- 2022

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

- MathematicsPhysical Review D
- 2022

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

- Computer Science
- 2022

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

- Mathematics
- 2022

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…

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