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Non Abelian T-duality and Holography. / Niall Thomas Macpherson

Swansea University Author: Niall Thomas Macpherson

Abstract

"We study non-abelian T-duality as a supergravity solution technique and explore its application to holography. We consider well understood geometries which describe the strong coupling regime of minimally supersymmetric gauge theories in 3 and 4 dimensions. We then use non-abelian T-duality to...

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Published: 2014
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42488
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first_indexed 2018-08-02T18:54:49Z
last_indexed 2018-08-03T10:10:17Z
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spelling 2018-08-02T16:24:29.4314045 v2 42488 2018-08-02 Non Abelian T-duality and Holography. 9be89bfce8ac696cd6aa7c4f05c0975b NULL Niall Thomas Macpherson Niall Thomas Macpherson true true 2018-08-02 "We study non-abelian T-duality as a supergravity solution technique and explore its application to holography. We consider well understood geometries which describe the strong coupling regime of minimally supersymmetric gauge theories in 3 and 4 dimensions. We then use non-abelian T-duality to generate new solutions in type-II supergravity and use these to define new gauge theories with interesting dynamics such as confinement. The work contains extensive field theoretic analysis of these new solutions. We explore how the supersymmetry of the "seed" solutions is preserved under T-duality transformations by employing the powerful techniques of G- structures and generalised geometry. As well as giving a geometric description of non-abelian T-duality, this also enables us to extend the duality to cases with calibrated sources. We find that quite generically SU(3)-structures in 6d are mapped to SU(2)-structures. Further we find an intimate relationship between dynamic SU(2)-structures and confinement in these new solutions." E-Thesis Mathematics.;Theoretical physics. 31 12 2014 2014-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.4314045 2018-08-02T16:24:29.4314045 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Niall Thomas Macpherson NULL 1 0042488-02082018162458.pdf 10801718.pdf 2018-08-02T16:24:58.4470000 Output 7110303 application/pdf E-Thesis true 2018-08-02T16:24:58.4470000 false
title Non Abelian T-duality and Holography.
spellingShingle Non Abelian T-duality and Holography.
Niall Thomas Macpherson
title_short Non Abelian T-duality and Holography.
title_full Non Abelian T-duality and Holography.
title_fullStr Non Abelian T-duality and Holography.
title_full_unstemmed Non Abelian T-duality and Holography.
title_sort Non Abelian T-duality and Holography.
author_id_str_mv 9be89bfce8ac696cd6aa7c4f05c0975b
author_id_fullname_str_mv 9be89bfce8ac696cd6aa7c4f05c0975b_***_Niall Thomas Macpherson
author Niall Thomas Macpherson
author2 Niall Thomas Macpherson
format E-Thesis
publishDate 2014
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description "We study non-abelian T-duality as a supergravity solution technique and explore its application to holography. We consider well understood geometries which describe the strong coupling regime of minimally supersymmetric gauge theories in 3 and 4 dimensions. We then use non-abelian T-duality to generate new solutions in type-II supergravity and use these to define new gauge theories with interesting dynamics such as confinement. The work contains extensive field theoretic analysis of these new solutions. We explore how the supersymmetry of the "seed" solutions is preserved under T-duality transformations by employing the powerful techniques of G- structures and generalised geometry. As well as giving a geometric description of non-abelian T-duality, this also enables us to extend the duality to cases with calibrated sources. We find that quite generically SU(3)-structures in 6d are mapped to SU(2)-structures. Further we find an intimate relationship between dynamic SU(2)-structures and confinement in these new solutions."
published_date 2014-12-31T03:53:04Z
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score 11.036706

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