Medevielle, Maxime
(2023)
T-duality and the signature of 4-dimensional spacetime.
PhD thesis, University of Liverpool.
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Abstract
This thesis is centered around the study of geometric aspects of string theory and supergravity. We will focus on N = 2, D = 4 supergravity theories in arbitrary spacetime signature. We will obtain these supergravity theories as Calabi-Yau compactifications of Hull’s exotic Type II theories. In ten dimensions these theories are related to each other via T-duality and S-duality. We will obtain the four dimensional duality web of theories as a projection of the ten-dimensional one. Moreover the T-duality relations between theories define maps, from the vectormultiplet geometries to the hypermultiplet geometries, called c-maps, which will be characterized and classified. We will then turn to the study of solutions of such theories. We will be interested in non-extremal black hole and cosmological solutions exhibiting planar symmetry. Such solutions will be T-dualized and we will interpret their behavior once embedded in string 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 Jun 2023 14:58 |
| Last Modified: | 19 Jun 2023 14:59 |
| DOI: | 10.17638/03170863 |
| Supervisors: |
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| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3170863 |
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