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Publications Influence

Completing the Web of $Z_3$ - Quotients of Complete Intersection Calabi-Yau Manifolds

- P. Candelas, Andrei Constantin
- Mathematics, Physics
- 9 October 2010

We complete the study [1] of smooth ℤ3-quotients of complete intersection Calabi-Yau threefolds by discussing the six new manifolds that admit free ℤ3 actions that were discovered in [2]. These… Expand

28 3- PDF

A Comprehensive Scan for Heterotic SU(5) GUT models

- L. Anderson, Andrei Constantin, J. Gray, A. Lukas, Eran Palti
- Physics
- 17 July 2013

A bstractCompactifications of heterotic theories on smooth Calabi-Yau manifolds remain one of the most promising approaches to string phenomenology. In two previous papers, arXiv:1106.4804 and… Expand

92 2- PDF

An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts

- P. Candelas, Andrei Constantin, H. Skarke
- Mathematics, Physics
- 19 July 2012

Even a cursory inspection of the Hodge plot associated with Calabi-Yau threefolds that are hypersurfaces in toric varieties reveals striking structures. These patterns correspond to webs of… Expand

46 1- PDF

The moduli space of heterotic line bundle models: a case study for the tetra-quadric

- E. Buchbinder, Andrei Constantin, A. Lukas
- Physics
- 8 November 2013

A bstractIt has recently been realised that polystable, holomorphic sums of line bundles over smooth Calabi-Yau three-folds provide a fertile ground for heterotic model building. Large numbers of… Expand

29 1- PDF

Hodge numbers for all CICY quotients

- Andrei Constantin, J. Gray, A. Lukas
- Physics
- 6 July 2016

A bstractWe present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. The method relies… Expand

23 1- PDF

Type IIB flux vacua from G-theory II

- P. Candelas, Andrei Constantin, C. Damian, Magdalena Larfors, J. F. Morales
- Physics
- 18 November 2014

A bstractWe find analytic solutions of type IIB supergravity on geometries that locally take the form Mink × M4 × ℂ with M4 a generalised complex manifold. The solutions involve the metric, the… Expand

24 1- PDF

Machine Learning Line Bundle Cohomology.

- Callum R. Brodie, Andrei Constantin, R. Deen, A. Lukas
- Mathematics, Physics
- 20 June 2019

We investigate different approaches to machine learning of line bundle cohomology on complex surfaces as well as on Calabi-Yau three-folds. Standard function learning based on simple fully connected… Expand

23- PDF

Counting string theory standard models

- Andrei Constantin, Y. He, A. Lukas
- Physics, Mathematics
- 30 September 2018

We derive an approximate analytic relation between the number of consistent heterotic Calabi-Yau compactifications of string theory with the exact charged matter content of the standard model of… Expand

18- PDF

Index Formulae for Line Bundle Cohomology on Complex Surfaces

- Callum R. Brodie, Andrei Constantin, R. Deen, A. Lukas
- Mathematics, Physics
- 20 June 2019

We conjecture and prove closed-form index expressions for the cohomology dimensions of line bundles on del Pezzo and Hirzebruch surfaces. Further, for all compact toric surfaces we provide a simple… Expand

11- PDF

Formulae for Line Bundle Cohomology on Calabi-Yau Threefolds

- Andrei Constantin, A. Lukas
- Physics, Mathematics
- 29 August 2018

We present closed form expressions for the ranks of all cohomology groups of holomorphic line bundles on several Calabi-Yau threefolds realised as complete intersections in products of projective… Expand

17- PDF

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