FORTIN, HUGO (2024) Arithmetic and string theory. Doctoral thesis, Durham University.
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Abstract
We study M-Theory solutions with G-flux on the Fermat sextic Calabi-Yau fourfold, focusing on the relationship between the number of stabilized complex structure moduli and the tadpole contribution of the flux. We emphasize first the point-of-view from Hodge theory by using Griffith residues to compute the length of the flux with respect to the dimension of the Zariski tangent space, and we propose an alternative approach to check that those are the only results by making use of elementary number theory.
| Item Type: | Thesis (Doctoral) |
|---|---|
| Award: | Doctor of Philosophy |
| Faculty and Department: | Faculty of Science > Mathematical Sciences, Department of |
| Thesis Date: | 2024 |
| Copyright: | Copyright of this thesis is held by the author |
| Deposited On: | 04 Jun 2024 12:43 |
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