Khan, Siraj
(2015)
Flows between Aharony and Giveon-Kutasov Dualities in 3d field theories derived from Type IIB String theories.
PhD thesis, University of Liverpool.
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Abstract
Bosonic string theory and superstring theory are briefly overviewed. Three dimensional field theories are similarly discussed, with a focus on effective $N=2$ supersymmetric theories. It is shown how to induced contributions to the Chern-Simons level of the low energy theory, by integrating out massive matter. Such effective field theories are then shown to arise from type IIB brane configurations based on the Hanany-Witten brane configuration. Strong-weak dualities are overviewed, leading to a discussion of the three dimensional strong-weak dualities: Aharony duality for theories with zero Chern-Simons level, and Giveon-Kutasov duality for theories with non-zero Chern-Simons level. In the results section, brane configurations corresponding to three-dimensional $N=2$ $U(N_{c})$ field theories with various numbers of flavour of massive matter are investigated. The resulting low energy field theories are explained, and the flows between Aharony and Giveon-Kutasov dualities are catalogued. Three dimensional $N=2$ effective field theories obtained through the inclusion of massive adjoint matter are also examined, with the flows between Aharony and Giveon-Kutasov dualities, again, catalogued. Finally, the significance of the results and the possibilities for future research, are discussed.
| Item Type: | Thesis (PhD) |
|---|---|
| Additional Information: | Date: 2015-12-20 (completed) |
| Uncontrolled Keywords: | 3d Field Theory Type IIB String theory Aharony Giveon Kutasov Duality |
| Subjects: | ?? QA ?? ?? QC ?? |
| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 25 Aug 2016 15:39 |
| Last Modified: | 17 Dec 2022 02:26 |
| DOI: | 10.17638/02048419 |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/2048419 |
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