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On G-strucures in gauge/string duality. / Jerome Gaillard

Swansea University Author: Jerome Gaillard

Abstract

We study how G-structures can be used in the framework of gauge/string duality. The reason why such concept is so powerful is that C-structures are a very natural way of describing supersymmetry in a geometric setting. We investigate more specifically two different points. First, we are interested i...

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Published: 2011
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42569
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spelling 2018-08-02T16:24:29.6965988 v2 42569 2018-08-02 On G-strucures in gauge/string duality. 19116fe0b53765187aa0f85a2a640519 NULL Jerome Gaillard Jerome Gaillard true true 2018-08-02 We study how G-structures can be used in the framework of gauge/string duality. The reason why such concept is so powerful is that C-structures are a very natural way of describing supersymmetry in a geometric setting. We investigate more specifically two different points. First, we are interested in how G'-structures can help with constructing and understanding supergravity backgrounds with sources that can be interpreted as flavours in the dual field theory. In particular, we show that the smearing procedure, for flavouring a background, is expressed more clearly when described in terms of G-structures. We discuss this problem in general terms, before applying the newly developed techniques to several examples, some already known and some new. We see that the way one adds and distributes branes in a supersymmetric background is strongly constrained by the preservation of supersymmetry. We then also look at how one can develop solution-generating techniques from Cr-structures, that derive complex solutions out of simple ones, by tinning on new fluxes. We specialise to the two cases of SU(3) and G2-structures. In both examples, we use the solution-generating methods on known solutions to create new, previously unknown solutions. We show that those techniques can be applied to flavoured as well as unflavoured backgrounds. E-Thesis Theoretical physics. 31 12 2011 2011-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.6965988 2018-08-02T16:24:29.6965988 College of Science Physics Jerome Gaillard NULL 1 0042569-02082018162504.pdf 10805318.pdf 2018-08-02T16:25:04.8130000 Output 9793521 application/pdf E-Thesis true 2018-08-02T16:25:04.8130000 false
title On G-strucures in gauge/string duality.
spellingShingle On G-strucures in gauge/string duality.
Jerome Gaillard
title_short On G-strucures in gauge/string duality.
title_full On G-strucures in gauge/string duality.
title_fullStr On G-strucures in gauge/string duality.
title_full_unstemmed On G-strucures in gauge/string duality.
title_sort On G-strucures in gauge/string duality.
author_id_str_mv 19116fe0b53765187aa0f85a2a640519
author_id_fullname_str_mv 19116fe0b53765187aa0f85a2a640519_***_Jerome Gaillard
author Jerome Gaillard
author2 Jerome Gaillard
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publishDate 2011
institution Swansea University
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hierarchy_top_title College of Science
hierarchy_parent_id collegeofscience
hierarchy_parent_title College of Science
department_str Physics{{{_:::_}}}College of Science{{{_:::_}}}Physics
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description We study how G-structures can be used in the framework of gauge/string duality. The reason why such concept is so powerful is that C-structures are a very natural way of describing supersymmetry in a geometric setting. We investigate more specifically two different points. First, we are interested in how G'-structures can help with constructing and understanding supergravity backgrounds with sources that can be interpreted as flavours in the dual field theory. In particular, we show that the smearing procedure, for flavouring a background, is expressed more clearly when described in terms of G-structures. We discuss this problem in general terms, before applying the newly developed techniques to several examples, some already known and some new. We see that the way one adds and distributes branes in a supersymmetric background is strongly constrained by the preservation of supersymmetry. We then also look at how one can develop solution-generating techniques from Cr-structures, that derive complex solutions out of simple ones, by tinning on new fluxes. We specialise to the two cases of SU(3) and G2-structures. In both examples, we use the solution-generating methods on known solutions to create new, previously unknown solutions. We show that those techniques can be applied to flavoured as well as unflavoured backgrounds.
published_date 2011-12-31T04:13:50Z
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