Hurtado Heredia, Martin
(2023)
Spinor-vector duality in smooth
heterotic compactifications.
PhD thesis, University of Liverpool.
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Abstract
This thesis has as main motivation the possible extension of the spinor-vector duality, first observed in the free fermionic realization of Z₂ × Z₂ heterotic orbifold models, to smooth compactifications of the heterotic string, i.e. Calabi-Yau manifolds with vector bundles. For this purpose, we use toric resolutions of the appropriate orbifolds as well as Gauged Linear Sigma Models (GLSMs) of these resolutions. The project, which is still ongoing, is divided in different steps, of increasing difficulty, namely smooth compactifications to six, five and four dimensions. Interesting results are obtained for the 6D case, in which a fundamental anomaly cancellation condition constraints the duality to produce only “self-dual” models and for the 5D case in which the duality can be achieved but the gauge groups of the dual models are not the same. After that we turn our attention to the study of the 4D case, whose geometry, the resolution of the T⁶/Z₂ × Z₂ is significatively more involved. Motivated for a simplification of it we define a triangulation-independent formalism for that resolution. The last part of the thesis is devoted to the study of GLSMs in the T⁶/Z₂ × Z₂ and its resolution, including the implementation of a discrete torsion phase, whose understanding, (which is key for a full understanding of spinor-vector dualities) is generally unclear in the geometrical effective field theory .
| Item Type: | Thesis (PhD) |
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| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 19 Sep 2023 09:57 |
| Last Modified: | 19 Sep 2023 09:57 |
| DOI: | 10.17638/03172685 |
| Supervisors: |
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| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3172685 |
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