• Corpus ID: 243832723

Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape

  title={Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape},
  author={Ross Altman and Jonathan Carifio and Xin Gao and Brent Nelson},
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, 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 Calabi-Yau manifold. Then we… 

Figures and Tables from this paper

Machine Learning to the Orientifold Calabi-Yau with String Vacua
  • Xin Gao, Hao Zou
  • Physics
  • 2021
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


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
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
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
Calabi-Yau Threefolds with Small Hodge Numbers
We present a list of Calabi-Yau threefolds known to us, and with holonomy groups that are precisely SU(3), rather than a subgroup, with small Hodge numbers, which we understand to be those manifolds
GUTs in Type IIB Orientifold Compactifications
Abstract We systematically analyse globally consistent SU ( 5 ) GUT models on intersecting D7-branes in genuine Calabi–Yau orientifolds with O3- and O7-planes. Beyond the well-known tadpole and
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
A new construction of Calabi–Yau manifolds: Generalized CICYs
Abstract We present a generalization of the complete intersection in products of projective space (CICY) construction of Calabi–Yau manifolds. CICY three-folds and four-folds have been studied
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
Hodge numbers for CICYs with symmetries of order divisible by 4
We compute the Hodge numbers for the quotients of complete intersection Calabi-Yau three-folds by groups of orders divisible by 4. We make use of the polynomial deformation method and the counting of