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A list of all the posts and pages found on the site. For you robots out there, there is an XML version available for digesting as well.
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portfolio
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publications
Fermion masses and mixing in string-inspired models
Published in Journal of High Energy Physics, 2024
We study a class of supersymmetric Froggatt-Nielsen (FN) models with multiple U(1) symmetries and Standard Model (SM) singlets inspired by heterotic string compactifications on Calabi-Yau threefolds. The string-theoretic origin imposes a particular charge pattern on the SM fields and FN singlets, dividing the latter into perturbative and non-perturbative types. Employing systematic and heuristic search strategies, such as genetic algorithms, we identify charge assignments and singlet VEVs that replicate the observed mass and mixing hierarchies in the quark sector, and subsequently refine the Yukawa matrix coefficients to accurately match the observed values for the Higgs VEV, the quark and charged lepton masses and the CKM matrix. This bottom-up approach complements top-down string constructions and our results demonstrate that string FN models possess a sufficiently rich structure to account for flavour physics. On the other hand, the limited number of distinct viable charge patterns identified here indicates that flavour physics imposes tight constraints on string theory models, adding new constraints on particle spectra that are essential for achieving a realistic phenomenology.
Recommended citation: Fermion Masses and Mixing in String-inspired Models, A. Constantin, C. S. Fraser-Taliente, T. Harvey, L. T. Y. Leung, A. Lukas, JHEP06(2025)175.
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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study
Published in arXiv, 2025
Deriving the Yukawa couplings and the resulting fermion masses and mixing angles of the Standard Model (SM) from a more fundamental theory remains one of the central outstanding problems in theoretical high-energy physics. It has long been recognised that string theory provides a framework within which this question can, at least in principle, be addressed.
Recommended citation: Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study, A. Constantin, L. T. Y. Leung, A. Lukas, L. A. Nutricati, preprint.
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talks
Flavour Physics from Heterotic Standard Models with Split Bundles
Published:
This is a talk on my paper ‘Quark Masses and Mixings in String-inspired models’ in the annual conference String Phenomenology in Padova, Italy, where I have shared some of the preliminary results on our paper searching for low-energy models using symmetries in string theory and genetic algorithms.
Fermion Masses and Mixings from String-inspired Models
Published:
This is a talk on my paper ‘Fermion Masses and Mixings in String-inspired models’ in the annual conference String Data in Kyoto, Japan, where I have shared some of the final results on our paper searching for low-energy models using symmetries in string theory and genetic algorithms.
Heterotic Line Bundle Standard Models and Heterotic Flux Moduli Stabilisation
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This is a talk on heterotic string model building and moduli stabilisation in the Dalitz Seminar Series at Oxford.
Fermion Hierarchies from String Theory
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This is a talk on my papers on heterotic string model building in the annual International School of Subnuclear Physics in Erice, Italy, in the New Talents Session. I was awarded the Best Theoretical Presentation Award.
teaching
String Theory I
Postgraduate course, Mathematical Institute, University of Oxford, 2022
I was the teaching assistant for String Theory I in the MMathPhys course at Oxford for Hilary Term 2023 and Hilary Term 2024 where I was responsible to mark the students’ scripts and present problem solutions in class. This is an introductory course in string theory where the concepts in bosonic string theory, D-branes and T-dualities are introduced.
Supersymmetry and Supergravity
Postgraduate course, Mathematical Institute, University of Oxford, 2024
I was the teaching assistant and class tutor for String Theory I in the MMathPhys course at Oxford for Hilary Term 2025 where I was responsible to mark the students’ scripts and present problem solutions in class. This is an introductory course in supersymmetry, basically following Wess and Bagger.
Standard Model and Beyond I
Postgraduate course, Department of Physics, University of Oxford, 2025
I was the teaching assistant for Standard Model and Beyond I in the MMathPhys course at Oxford for Hilary Term 2023 and Hilary Term 2024 where I was responsible to mark the students’ scripts and present problem solutions in class. This is an advanced course in QFT introducing the Standard Model to students in their final term.
Mathematical Methods
Undergraduate course, Mansfield College, University of Oxford, 2025
I am currently the tutor for Mathematical Methods in Mansfield College.
Groups and Representations
Postgraduate course, Department of Physics, University of Oxford, 2025
I have been a class tutor for my supervisor, Prof. Andre Lukas’ course, Groups and Representations for four years. The course aims to introduce Lie groups and algebras to master’s level students taking the MMathPhys course at Oxford.